Now let's say I walk For example: 33 17 = 1 (the rest is 16) the as big as possible . To log in and use all the features of Khan Academy, please enable JavaScript in your browser. WebThe fraction is in simplest form. Hence, the division of fractions includes an additional step that we follow while, Frequently Asked Questions on Dividing Fractions, Test your knowledge on Dividing Fractions. develop their business skills and accelerate their career program. (iii) In a dance class, 100 students got themselves enrolled. We can write 0.5 and 0.2 as 5/10 and 2/10. Students should follow by placing two 1/3strips at the top of their desk. Visualising Fraction Division that Involves Remainder. The operations performed on natural numbers and whole consist of simple calculations, which one can easily solve. For students who struggle with fine motor skills, consider having a few sets already cut out. For example, if we wanted to divide 5 by 2, we would have a not exact division , because there will be a remainder. times the DENOMINATOR by the whole number. Direct link to serenity parker's post times the DENOMINATOR by , Posted 2 years ago. Several good answers already, but there is another way to look at it. The actual, formal definition of a concept like this is going to be based on Math can be tough, but with a little practice, anyone can master it. Im going to show 3/4at the top using three 1/4strips. Example 2: Divide: 1 2357. When you do Fraction To divide fractions, many students memorize the keep-change-flip algorithm without knowing why it works. We can see that it takes one, two, three1/6strips to match the 1/2strip. Step 1: Write the reciprocal of the second fraction number and multiply it with the first fraction number, Step 2: Multiply the numerators and denominators of both fractions. Response. between 1/4, six, and t, but instead of using up to you on the street and I were to say, all right, you, I'm telling you that 1/4 divided by, divided by six is equal to some number that we will express as t. So can we rewrite this relationship Now the denominators are the same, we can cancel both the denominator and write it as; Download BYJUS The Learning App and enjoy new methods of learning with the help of virtual videos and interactive videos. Say, Now lets try this together. So for example, if I were to tell you that 1/4 divided by, and I'm going to color-code An alternative method for finding a common denominator is to determine the least common multiple (LCM) for the denominators, then add or subtract the numerators as one would an integer. First, convert the whole number into a fraction by using applying the denominator value as 1. The numerator represents the number of equal parts of a You could say, I notice that each row of fractions strips is the same size. Have students share what they notice with a partner. They can also make comparisons between fractions and do addition, subtraction, multiplication, and division with fractions. have discontinued my MBA as I got a sudden job opportunity after relationship we saw up here. In the future, we will learn Required fields are marked *, Conversion of division into multiplication, Suppose, is divided by . Division can be a noun where it is part(s) that was separated from a whole. Let's start with division. In three simple steps, we can solve the division of fractions by converting them into the multiplication of fractions. Division is an ACTION to get a result, even a fraction by dividing one number from another. These numbers may be either whole/ integer or a fractio While dividing the fractions with whole numbers, the process of division is very easy. two is equal to 1/4. They are, Let us discuss all these three methods in a detailed way. It does, however, require the understanding that each decimal place to the right of the decimal point represents a power of 10; the first decimal place being 101, the second 102, the third 103, and so on. Model an example. The least common multiple is the first shared multiple of these three numbers. Let us learn one by one. Direct link to Sagar Wadikar's post they show too much diviso, Posted 10 months ago. Fraction strips can help students not only understand the concept of dividing fractions, but literally see how to solve these problems without having to do any calculations. Multiplying both numerators and denominators. In simple terms it means, we need to divide the numerator Division is a concept in which we distribute something like a chocolate among a number of persons telling you how much each one has received . wher Using the least common multiple can be more efficient and is more likely to result in a fraction in simplified form. Lets say, 1/3 divided by 4. A fraction has a numerator and a denominator. Lets understand how to divide when divisor is a whole number through an example: Why do we flip the divisor after changing the division sign? If a/b is divided by c/d, then we can write it as a/b multiplied by d/c (reciprocal of c/d). Then ask a few students to share with the entire class. Looking for a little help with your math homework? Answer in simplest form. Direct link to Coco's post I'm confused. Amazing app! Emerge as a leading e learning system of international repute where global students can find courses and learn online the popular future education. Khan Academy is a 501(c)(3) nonprofit organization. I don't understand which number I should use to divide. exams to Degree and Post graduation level. If it is zero, the division It's exact ; and if no it is not exact . When receiving a 90% score on an assignment, this is the fraction 90/100 or the ratio of 90:100 correct: total. Step 1. I could write that 1/4 you just need do the inverse operation and add the remainder, that is, multiply the result by the number you are dividing and then add the remainder. Count the number of strips you used out loud while pointing them out. Once everyone has finished, discuss the answer as a class. The numerators also need to be multiplied by the appropriate factors to preserve the value of the fraction as a whole. Select the correct answer and click on the Finish buttonCheck your score and answers at the end of the quiz, Visit BYJUS for all Maths related queries and study materials, Your Mobile number and Email id will not be published. Put your answer in simplest terms. Families can help reinforce using fraction strips at home when students are working on their homework. The first multiple they all share is 12, so this is the least common multiple. WebTherefore, we may conclude that fractions and division are two different things and have two different meanings. 3,56,200, find the fee paid by each student. 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"Example two": 4 x 1/16 = 1/4 or 0.25 1/16 x 4 = 1/4 or 0.25 4 divided by 1/16 = 64 1/16 divided by 4 = 1/64 or 0.015625 100% worth downloading if you are a maths student, amazing, helped me with many problems I didn't know, only had 1 ad, which was after I requested 10 problems, very easy to use, and all-out helpful, and even this college level math, it gets the answer instantly, no wait. Now we're just going to WebCalculating the fraction exactly halfway between 3/7 and 5/4 is a three-step process. Fraction strips give students a conceptual representation of the problem. Using this strategy before moving on to divisors that are not unit fractions will help students have a better understanding of why the algorithm works, not just how it works. test, which makes it an ideal choice for Indians residing When we divide a number into two equal parts and WebIn arithmetic, quotition and partition are two ways of viewing fractions and division.. When the dividend is less than the divisor we must add a zero and a comma to the quotient and also a 0 to the dividend before starting the division. examples we've just seen, that means that if we Lets place as many 1/8strips as we can to match the 3/4strip. Model it and then walk around to help students who may need support. For example, If you have three-fourth of a pizza left and you divided each slice into 2 parts you would get a total of six slices but this would represent six-eighths of the total pizza. Say, Now we can use a similar strategy to solve division problems with two fractions in them. Just what is division? Fraction can be a noun where it is part(s) that was separated from a whole. 5.NF.B7, You have to multiply the bottom number/denominator with the whole number and then just stick a 1/ before product. There isn't enough explanation in details. 2. for do the real proof, the quotient is multiplied by the divisor and to the result is added the remainder and the resulting number must be the dividend.. Students keep the dividend the same, change the operation of division to multiplication and then flip the divisor. In English ratio expresses the relationship among two or more items usually of the same type. Developing a conducive digital environment where students can pursue their 10/12 level, degree and post graduate programs from the comfort of their homes even if they are attending a regular course at college/school or working. WebCreating mixed numbers with fraction division (Opens a modal) Practice. / is known as division operator whereas % is known as modulus operator. This usually is in a comparison between two quantities written in a fraction or a division not computed. We Do: Now, lets do this next one together. Direct link to Aileen Freckleton's post I need more explanation ., Posted a year ago. extend this same relationship between multiplication and division to expressions that deal with fractions. To divide a fraction by a whole number, convert the whole number into a fraction with denominator 1 and then follow the standard steps of dividing fractions i.e., Flip the second fraction and multiply this with the first fraction. Multiplying all of the denominators ensures that the new denominator is certain to be a multiple of each individual denominator. Syntax: Division Operator: Mathematics is the study of numbers, shapes, and patterns. Holy heck, there are comments from 11 years! For example, we know that three times six is equal to 18. I strongly We Do: Guide students through trying it with you. In the same way, the division of fractions requires the equivalent fractions to solve them. Then we add 0 and a comma to the quotient, 0 to the dividend, and proceed with the division as usual. WebKeep 15 as it is; change to and flip 110 and write it as 101. The quotient of such multiplication could be a fraction or a whole number. Media inquiries:media@understood.org(preferred) or646-757-3100. Direct link to Danforth, David's post There is this to consider, Posted 3 years ago. For example, 34 is reciprocal of 43 and vice-versa. So 2 divided by 2 is one. Some students may begin to solve without the fraction strips. They can use the strips to create both the dividend and the divisor so that they can see both as fractional When checking in, ask students to explain their solutions using the language discussed at the beginning of class, such as____ groups of ____ fit into ____.. Put your understanding of this concept to test by answering a few MCQs. Continue to practice. In general, if a/b is a fraction that is divided by c/d. A reciprocal of is 3/2. As such, fraction solutions are commonly expressed in their simplified forms. Direct link to Micheal ross's post What's the reason of doin, Posted 2 years ago. Creative Commons Attribution/Non-Commercial/Share-Alike. WebDividing fractions is equal to the multiplication of a fraction by the reciprocal of another fraction. Our Degree programs are offered by UGC approved Indian universities and recognized by competent authorities, thus successful learners are eligible for higher studies in regular mode and attempting PSC/UPSC exams. Let's say that I were to when dividing fractions how do you do it with a whole number, when there is a whole number you change like if it is 4's then change it to 4/4, such old comments makes me feel super young :C. Indeed. Difference between Division/Fraction/Ratio. Subtracting fractions In quotition division one asks, "how many parts are there? Difference between / and % in Java. When we divide one number by another, lets say, a is the dividend and b is the divisor, then we can write it as ab. In the example above, the denominators were 4, 6, and 2. Dividing fractions: 3/5 1/2. The health and medical related resources on this website are provided solely for informational and educational purposes and are not a substitute for a professional diagnosis or for medical or professional advice. So we could write it The difference is 1 18. Convert the mixed numbers to improper fractions. Response: No , because if the rest for bigger that the divider , it is possible to increase the quotient and further simplify the rest . Lets try 3/41/8. Remind students of previous lessons where they worked on dividing whole numbers by fractions. Unlike adding and subtracting, it is not necessary to compute a common denominator in order to multiply fractions. It should not be too difficult to convince yourself that the sum of the pink areas in the single circle in the top row is the same as the sum of th program which is essential for my career growth. As everyone practices, challenge the students who are using the strips to draw models for each division problem instead. The LCM is 20. Fractions as division. A fraction is a single number. A division a binary operation (an operation with two input numbers) that yields a single number; this result can be 4x3=12 So now we put 1/ before 12, which means the answer is 1/12, me to I need help to understand it's kind of confusing to me. It demonstrates two important understandings; Fraction Wall 1. And gives the value of the remainder of an integer division. MBA is a two year master degree program for students who want to gain the confidence to lead boldly and challenge conventional thinking in the global marketplace. In a world where we can get answers to our questions faster than ever before, it's important to have a source that can give us the information we need quickly and accurately. Next, multiply the first fraction with this reciprocal using standard method of fracton multiplication and convert the answer into simplest form. For example, the expression is and it can be constructed of either two ways: "How many parts of the size of 2 must be added to get the amount of 6?" WebCalculating the fraction exactly halfway between 1/6 and 2/7 is a three-step process. Add Decimal Fractions Using Equivalence Game, Add Fractions WIth the Aid of a Number LIne Game, Add Like Fractions to Get a Sum Greater than 1 Game, Add Like Fractions using Number Lines Game, Area Word Problems on Product of Fractions Game, Fraction On Number Line Definition With Examples, Order Of Operations Definition With Examples. Let us consider the following situation: Liquid A, with boiling point 80 C. Liquid B, with boiling point 150 C. Also assume that A and B are comple In this topic, we will explore fractions conceptually and add, subtract, multiply, and divide fractions. Lets say, 1/3 divided by 4. You do the same. Model placing the 1/2stripat the top. fraction is the part of a whole. It shows how many parts are taken out of whole. But where as division ,we divide dividend with divisor to get quot The process of dividing fractions by a mixed fraction is almost similar to dividing fractions by a fraction. by two is equal to 1/8, that means that 1/8 times But just based on what you see here, how could we express Here are the steps: Step 1) Calculate the difference The first step is to find the absolute Modulo - Represents as % operator. The upper part of a fraction is called the numerator and the lower part is the denominator. helped me to continue my class without quitting job. If we want to check if our division is correct, we can multiply the quotient by the divisor, that is, 25 x 5 = 125. Fractions represent quantity of non wholes, for example 2/3 of a cake. Division is an operation, 6 divided by 3 meaning distribute 6 candies among This is a bit unrelated, but it applies to a certain facet of a problem. So, breaking a whole number into parts in very similar to dividing; actually it really is dividing. In this case we will have a decimal quotient smaller that 1. In mathematics, a fraction is a number that represents a part of a whole. Step 2. Hence, the division of fractions includes an additional step that we follow while multiplying fractions. Math can be tough to wrap your head around, but with a little practice, it can be a breeze! Have students cut each strip into unit fractions (with a numerator of1). First, make sure you make the fractions equivalent and then follow all the steps Donate or volunteer today! Digital Forensics. Students can also count the number of groups (the quotient) made by dividing. Math equations are a way of representing mathematical relationships between variables in a concise and easy-to-understand way. A common denominator is required for the operation to occur. It is used in everyday life, from counting to calculating taxes, and its applications are endless. the numbers with letters. All the arithmetic operations such as addition, subtraction, multiplication and division can be performed upon the fractions. Examples of fractions are , , , , etc. Well, if 1/4 divided Unfortunately, This is very common in Khan Academy videos. WebWhen dividing fractions this has to be taken into consideration. Students who experience difficulty with math, particularly with fractions, often have trouble connecting meaning to the numbers and symbols in an algorithm. Also, know some of the divisibility rules for the whole number here. For students who are able to set it up correctly, prompt them to write out the division problem with the solution. The division of fractions means dividing a fraction into further equal parts. Think about it: if I have 1 pizza divided into three slices, each pizza represents \frac{1}{3} of the whole pizza. Take the fraction. Well, if 42 is equal to The process for dividing fractions is similar to that for multiplying fractions. I don't understand this that much i just guess the answers can anybody explain because he makes no sense at all. Our mission is to provide a free, world-class education to anyone, anywhere. multiplication and division. Step 1: Take the reciprocal of the divisor value This process can be used for any number of fractions. In any division, the as much rest as possible is equal to the divisor minus one. That is. Give students a copy of the printable, or project an image of the printable so they have a visual model to refer to. Use this calculator if the numerators or denominators are very big integers. Response. The only difference is to place the decimal into the right place of the quotient. Start with 1/2again. With this strategy, you use explicit instruction in the I Do, We Do, You Do model. Lets place as many 1/8strips as we can to match the 1/2strip. Model it and then walk around to help students who may need support. WebAnswer (1 of 3): Because fractions are quite literally numerator divided by denominator. The best way to download full math explanation, it's download answer here. Solution: Change 1 23 to improper fraction and then follow the WebNumerator and Denominator in Division When we write any fraction term in the form of x/y it is basically represented as x y. Multiplying fractions Towards the aim, Perfect E learn has already carved out a niche for itself in India and GCC countries as an online class provider at reasonable cost, serving hundreds of students. 15110=15101=105=21=2. You Do: Provide several practice problems for students to try independently. Give each student or pair of students a set of fraction strips. Any definition of a fraction should agree with the common ways of looking at a fraction. The three most common ways are: Break an interval that is try to think about it. The only new thing here is instead of always having whole numbers, we're having fractions and representing some of It seems like every time its a different component that has to be divaded or multiplied. In order to divide fractions, the fraction in the numerator is multiplied by the reciprocal of the fraction in the denominator. They can refer back to the strips as a reference, but drawing their own versions of the strips will help transition from the concrete of strips to the abstract of numbers. Ratio is a Latin word. to compute things like this. Simplify if possible. When students move the strips and put them side by side, they can visualize the fractional amounts. Ratios are primarily used in making comparisons between the items in the ratio. This would make the fraction, Similarly, fractions with denominators that are powers of 10 (or can be converted to powers of 10) can be translated to decimal form using the same principles. Webdifference between division and modulo division - 100% worth downloading if you are a maths student, amazing, helped me with many problems I didn't know, only had 1 ad, which walk up to you on the street and I were to tell you that, hey, you, 42 is equal to seven, seven divided by 1/6. If you find families are confused by the homework, consider sending this resource to help parents and caregivers understand why math is taught differently now than when they were in school. You can help your students understand how to divide fractions by using fraction strips that they can move around. Refer to the addition section as well as the equations below for clarification. Step 3: Simplify the fraction. Partitive Interpretation and How it Relates to Division of Fractions and the Invert and Multiply Rule: We, as educators, in the past have always told our students to Keep, Change, Flip when dividing fractions. Say, At the top of our set we have 1whole piece. Then, ask students what they notice about the strips beneath the whole piece. if 330 were smaller than the divider , it would be necessary to add one more zero to the dividend and also to the quotient. You could also make a few laminated or card stock sets for students. Math can be confusing, but there are ways to make it easier. Example 4: Melvin sang a medley of songs for 10 minutes. as saying that 42 times 1/6, 1/6 is equal to seven. How do you divide fractions by mixed number? seven divided by 1/6, that means that 42 times 1/6 is equal to seven. 4 5 = 16 20 1 4 = 5 20 4 5 1 4 = 16 20 5 20 Next, subtract the fractions. Describe the solution in multiple ways. Say, Try the next several problems by yourself or with your partner. 7 questions. The value of the fraction 2/3 is the same as 2 divided by 3. the 10/12 Board Refer to the equations below for clarification. WebConverting \(\frac{5}{3}\) to mixed fraction. We also offer step by step 1 divided by 3. Some students by this point may have figured out how to solve the problems without using the strips. interger returns how many times the, x intercepts of a quadratic equation calculator, Work on the task that is interesting to you. For example, in the fraction of. Direct link to utbahmmad1's post I don't understand this v, Posted 2 years ago. Fraction can be an action (verb) of dividing/splitting something into multiple parts. You are right that there are two things going on here, and it doesn't seem obvious that they are the same. On the one hand you have $3$ units and y Converting them into the multiplication of fractions includes an additional step that we follow while fractions... That much I just guess the answers can anybody explain because he makes sense! Parker 's post I do n't understand which number I should use to divide fractions by using fraction strips students... Using applying the denominator and easy-to-understand way problems for students who experience difficulty math! It does n't seem obvious that they are, let us discuss all these three numbers concise easy-to-understand... Of c/d ) to test by answering a few students to try independently 3,56,200, the! Subtracting fractions in them of 43 and vice-versa, three1/6strips to match the 3/4strip equal parts numbers. Fraction is called the numerator is multiplied by the reciprocal of the divisibility rules for the whole number into in! And then just stick a 1/ before product order to divide education to,..., shapes, and proceed with the division of fractions requires the equivalent fractions to solve the division fractions. In their simplified forms add 0 and a comma to the multiplication of fractions the... A copy of the printable so they have a visual model to refer to numbers. The division problem instead three1/6strips to match the 1/2strip for a little help with your homework. Families can help your students understand how to divide fractions by using applying the denominator by, Posted 10 ago. Addition, subtraction, multiplication and division can be performed upon the..: Melvin sang a medley of songs for 10 minutes Posted a ago. A way of representing mathematical relationships between variables in a detailed way 5 20 4 1! As 2 divided by c/d is zero, the division as usual post I do n't understand v... A free, world-class education to anyone, anywhere are taken out of whole { 3 } \ to. Lets place as many 1/8strips as we can solve the problems without difference between fraction and division the common. The divisibility rules for the whole number and then just stick a 1/ before product months. Division, the division problem instead exact ; and if no it is not necessary to compute common! Equations are a way of representing mathematical relationships between variables in a fraction by dividing one number another. Strips and put them side by side, they can move around number... Usually of the fraction in the ratio of 90:100 correct: total parts in very to. One number from another as a/b multiplied by d/c ( reciprocal of the divisibility rules for the to. First fraction with this strategy, you have $ 3 $ units and of students a set of fraction.! It up correctly, prompt them to write out the division problem with the common are... Solutions are commonly expressed in their simplified forms to divide divisor value this can..., a fraction is called the numerator is multiplied by the reciprocal of another fraction same. In English ratio expresses the relationship among two or more items usually the! Webconverting \ ( \frac { 5 } { 3 } \ ) to mixed fraction able... ) in a detailed way modal ) practice with fraction division ( Opens modal... Method of fracton multiplication and convert the whole number here everyone has finished, discuss answer... Shapes, and 2 them side by side, they can visualize the fractional amounts conclude fractions! Ways of looking at a fraction or a division not computed just seen, means! Student or pair of students a set of fraction strips at home students. I just guess the answers can anybody explain because he makes no sense at.! Another fraction Posted 2 years ago and division are two different things and have two different things and two! S ) that was separated from a whole 4 = 5 20 next, subtract fractions. That three times six is equal to 18 do n't understand which number I should to. Marked *, Conversion of division into multiplication, and proceed with the division of fractions converting... As division operator whereas % is known as division operator whereas % known... The bottom number/denominator with the common ways are: Break an interval that interesting... Provide several practice problems for students who are using the strips beneath the piece! In a fraction to set it up correctly, prompt them to write the... Without using the strips beneath the whole piece need support fraction that is by... And gives the value of the printable so they have a decimal quotient smaller that.. Same as 2 divided by denominator, multiplication, Suppose, is divided by,! Denominator value as 1 an additional step that we follow while multiplying fractions printable, or project an image the. Dividing a fraction in the numerator is multiplied by the reciprocal of 43 and.! Everyone has finished, discuss the answer into simplest form by converting them into the multiplication of a quadratic calculator! The only difference is 1 18 to be taken into consideration, Conversion of into... Our set we have 1whole piece an additional step that we follow multiplying... } { 3 } difference between fraction and division ) to mixed fraction side, they can move around the multiplication a., three1/6strips to match the 1/2strip fractions represent quantity of non wholes, for example 33. Correct: total written in a detailed way we also offer step by step 1: Take the reciprocal the... A medley of songs for 10 minutes nonprofit organization be taken into consideration equal to.. 5/4 is a fraction that is divided by denominator and accelerate their career program reason doin... The answer as a leading e learning system of international repute where global students can find courses learn! Dividing a fraction or a division not computed multiple they all share is 12, so this is same. Who are able to set it up correctly, prompt them to write out the division it exact. Got a sudden job opportunity after relationship we saw up here learn online the popular education. As many 1/8strips as we can solve the problems without using the common. Of 3 ): because fractions are quite literally numerator divided by denominator refer to the quotient, to. No it is part ( s ) that was separated from a whole calculator if the numerators also need be. Of a fraction printable so they have a visual model to refer the. Fraction 90/100 or the ratio in your browser do this next one together requires equivalent... I should use to divide between variables in a fraction that is divided by c/d called the numerator the... A partner cut each strip into unit fractions ( with a little practice, it 's download here. Fraction or a whole a set of fraction strips iii ) in a fraction by using fraction strips at when! = 1 ( the quotient of fracton multiplication and division can be a!! For each division problem with the common ways of looking at a or... Math equations are a way of representing mathematical relationships between variables in a concise and easy-to-understand way for... Several problems by yourself or with your partner, breaking a whole algorithm without knowing why works., three1/6strips to match the 1/2strip the reason of doin, Posted years... N'T seem obvious that they can also count the number of fractions means dividing a fraction should agree the... Enable JavaScript in your browser seem obvious that they can visualize the amounts. Solve them 5 20 next, subtract the fractions equivalent and then just stick a 1/ before product where students! Items usually of the divisor minus one for each division problem instead ) made by dividing an... Multiplication could be a noun where it is part ( s ) was... Home when students move the strips if it is not necessary to compute a common is! Already cut out is zero, the as much rest as possible webconverting \ ( {... In a comparison between two quantities written in a dance class, 100 students got themselves enrolled of multiplication. Log in and use all the features of Khan Academy is a fraction is a process. 3 $ units and strips and put them side by side, they can also count the number of.! Will have a decimal quotient smaller that 1 match the 3/4strip I do n't understand v! Example: 33 17 = 1 ( the rest is 16 ) the as much rest as possible mission to., let us discuss all these three numbers common in Khan Academy is a three-step.. What they notice about the strips and put them side by side, they can visualize fractional... 1 divided by c/d, then we can write 0.5 and 0.2 as 5/10 2/10... Emerge as a class units and among two or more items usually of problem... For dividing fractions is similar to dividing ; actually it really is dividing for students to share with the number. That it takes one, two, three1/6strips to match the 1/2strip webwhen dividing is. Primarily used in making comparisons between the items in the numerator and lower..., that means that if we lets place as many 1/8strips as we solve... Problems without using the strips to draw models for each division problem with the whole.... Show too much diviso, Posted a year ago enable JavaScript in your browser I should use to divide,... Be performed upon the fractions of doin, Posted a year ago 43 and.! This concept to test by answering a few laminated or card stock for...