To do this you need to turn the second fraction (the one you want to divide by) upside down. ", "I forgot how to divide fractions, and this helped me remember very quickly. In fact, after you change mixed numbers to improper fractions, dividing fractions is just like multiplying fractions, except that you flip the numerator and the denominator of the second fraction. ", "It helped me not fail my summer school.". ", "I was in class and this got me through the problem, so thank you! Multiply the first fraction by that reciprocal. Because dividing is the opposite of multiplying! Divide Fractions 1 . This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. Grace Imson, MA. 1 This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. 7/3 divided by 4/5 = (7/3)(5/4) = 35/12, or 2 11/12. 1 × 1 20 divided by 5 is asking "how many 5s in 20?" ×   =   The result will be the denominator of your answer. This image may not be used by other entities without the express written consent of wikiHow, Inc.
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\u00a9 2020 wikiHow, Inc. All rights reserved. Make the whole number a fraction, by putting it over 1. Then, you multiply fractions as usual; the numerators together and the denominators together to get 23/16. ", "It helped me with my baseline test for tuition. This helped a lot, thank you. And we have 3/5 divided by 1/2. How to divide fractions. = Our answer is thus: Try thinking about this same equation in terms of cups of water: How many half cups of water are in 2 cups of water? Step by step guide to multiply and divide fractions. 2 1 × 6   =   This image may not be used by other entities without the express written consent of wikiHow, Inc.
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\u00a9 2020 wikiHow, Inc. All rights reserved. 1 First divide the numerator by the denominator, (. Flip the second fraction, then multiply. This is the quickest technique for dividing fractions. This image may not be used by other entities without the express written consent of wikiHow, Inc.
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\u00a9 2020 wikiHow, Inc. All rights reserved. This was a great help. Step 2. Math Teacher. To divide fractions with unlike denominators, we turn the division problem into a multiplication problem by multiplying the numerator of the division problem by the reciprocal of the denominator of the division problem, then we simplify. Step 1. ", my entire life that I did understand fractions, and I'm 49! To divide fractions, you multiply the first fraction by the reciprocal of the second fraction. This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. Step 1. 6 3 × 5 This image may not be used by other entities without the express written consent of wikiHow, Inc.
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\u00a9 2020 wikiHow, Inc. All rights reserved. ", fractions in my new hobbies and forgotten everything I knew about fractions except how to simplify to the lowest fraction. 1 Approved. Check it out: That's it -- then GO FOR IT! Turn the division sign into a multiplication sign. Expert Interview. But luckily, wiki-how was here! To divide two fractions, we multiply the first fraction by the reciprocal of the second fraction. In order to master the techniques explained here it is vital that you undertake plenty of practice exercises so that they become second nature. 1 wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. Example: You bought 6 1/2 pounds of sirloin steak, and you want to cut it into pieces that weigh 3/4 pound each.   ×   The reciprocal is a fraction whose numerator is 1 and whose denominator is the whole number. 1 Example 9. This picture shows that 1 3/ 4 can be subtracted from 5 1/ 4 three times. wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. This article will guide you through the process and show you that dividing fractions by fractions is really a breeze. To divide fractions you first reverse the numerator and the denominator numbers of the second fraction. Next, you will need to turn the 5 3/4 into an improper fraction (23/4), that is, 5 x 4 + 3. Divide the fractions. For actual examples of fractions being divided, read the article! Grace Imson is a math teacher with over 40 years of teaching experience. ", "Thank you, this article was great. Simplify the results if necessary. 2 1/3 as an improper fraction is 7/3. (The reciprocal of a fra... Learn how to divide fractions. 1 This is now a reciprocal. This is true whether you are dividing whole numbers or fractions by a fraction. Multiply the denominator by the whole number, and reduce the resulting fraction if possible. This image may not be used by other entities without the express written consent of wikiHow, Inc.
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\u00a9 2020 wikiHow, Inc. All rights reserved. In class, we were doing a rerun of things we've learned before, and I had completely, "The complete refresher on how to deal with fractions. Done! Step 1. 6 To divide fractions by fractions, start by replacing the division sign with a multiplication sign. Turn the second fraction upside down (the reciprocal): 1 Turn the second fraction upside down (it becomes a reciprocal): Step 2. Before it's time to say goodbye" ♫. Now multiply the denominators (bottom numbers) of the two fractions, 3*2 = 6. I have had to use, "I had always felt frustrated by math during my school years; I had always flunked math. Turn the second fraction upside down, then multiply. Stop there, you have found your answer! 3 Instead, we are going to multiply. "This was really helpful for my online homework as it has simple steps and pictures to show you how. 2 6 8. , we multiply the first fraction by the reciprocal of the second fraction So instead of dividing by a fraction, it is easier to turn that fraction upside down, then do a multiply. wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. ", "I was struggling with fractions. She has taught math at the elementary, middle, high school, and college levels. This article has been viewed 1,726,858 times. Dividing Fractions 1 - Cool Math has free online cool math lessons, cool math games and fun math activities. This is the first time in, "I was sick for three days at school, and I have lots of homework to do now. ", "It helped me get better and learn more about dividing fractions with fractions! Dividing a fraction by a fraction might seem confusing at first, but it is really very simple. You will need to simplify your answer and turn it into a mixed number fraction. Simplify your fraction by reducing it to the simplest terms. The fraction is already as simple as it can be. This tutorial will show how to divide fractions. 1 Then you will need to flip the 2nd fraction(reciprocal) and turn the division sign into a multiplication sign (1/4). Leave the first fraction in the equation alone. This page will show you how to divide two fractions. wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. ? This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. Use following easy steps to multiply or divide fractions. References Simplify the fraction (if needed) By using our site, you agree to our. Dividing fractions is as easy as pie! = 5 3/4 divided by 4/1 I am in the fifth grade and need help, so thanks a lot. Note that 4 and 10 are both even numbers, so the first step in reducing them is to divide them each by 2. Dividing a fraction by another fraction is the same as multiplying that fraction by the reciprocal of the other fraction. Multiply the first fraction by that reciprocal So: keep the first value the same; change the ÷ for a × 1.flip the second fraction Now look at the pizzas below ... how many "1/6th slices" fit into a "1/2 slice"? = 1 7/16. Look at another one: Head on over to the next page to try some fraction practice problems... 1; 2; Continue > Fractions Games. Step 1. We shall also see how to divide fractions by turning the second fraction upside down. She has an MA in Education, specializing in Administration and Supervision from Saint Louis University. This article received 29 testimonials and 86% of readers who voted found it helpful, earning it our reader-approved status. Multiplying and dividing fractions is simple. Then, find the reciprocal of the second improper fraction by flipping the numerator and denominator. This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. To get the denominator (bottom number) of your new fraction, multiply the bottom numbers of both fractions together. Explained well. If you're seeing this message, it means we're having trouble loading external resources on our website. Its reciprocal is 1/8. If you're seeing this message, it means we're having trouble loading external resources on our website. ", http://www.mathsisfun.com/mixed-fractions.html(, http://primes.utm.edu/glossary/xpage/prime.html, http://dictionary.reference.com/browse/reciprocal, https://www.mathsisfun.com/definitions/numerator.html, http://www.mathsisfun.com/fractions_division.html, Dividere una Frazione per un'altra Frazione, Kesir ile Kesri Bölme İşlemi Nasıl Yapılır, भिन्न को भिन्न से भाग दें (Divide Fractions by Fractions), consider supporting our work with a contribution to wikiHow. Puppy Pull. No negative numbers are used in this exercise. ", "My teacher would've killed me! 2 × 1 wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. I have been out of school a long time. You could pour 2 half cups of water into each cup of water which means you are basically adding them, and you have two cups: 2 halves/1 cup * 2 cups = 4 halves. Shows the work and the steps to do math with fractions. Learn to divide two fractions. = This is even better than my teacher's lesson on how to do it. Switch around the numerator (top number) and denominator (bottom number). = It's very easy to follow and learn even if you don't, "It's an awesome site to learn from. This image may not be used by other entities without the express written consent of wikiHow, Inc.
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\u00a9 2020 wikiHow, Inc. All rights reserved. Grace is currently a math instructor at the City College of San Francisco and was previously in the Math Department at Saint Louis University. You use equivalent fractions to make them the same. To divide one fraction by another fraction, change the problem to multiplication: Change the division sign to a multiplication sign. = 23/16 2 )It is based on a techniqe the student already knows, namely finding a common denominator.. For, in division, the dividend and divisor must be units of the same kind. 1 × 4 This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. This article was co-authored by Grace Imson, MA. This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. "This helped me understand this a lot. Change the mixed number to an improper fraction: 2½ becomes 5/2. The answer is a fraction. And don't forget to simplify, Multiply the top numbers of both fractions together to get … Then, flip the second fraction over so the bottom number of the second fraction is now on the top. = 23/4 x 1/4 This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. This image may not be used by other entities without the express written consent of wikiHow, Inc.
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\u00a9 2020 wikiHow, Inc. All rights reserved. W E ARE ABOUT to present an alternative to the method of "Invert and multiply." 3 Excel will automatically convert it to decimal format. Then, flip the second fraction over so the bottom number of the second fraction is now on the top. Fractions: multiplying and dividing mc-TY-fracmult-2009-1 In this unit we shall see how to multiply fractions. = 5 3/4 x 1/4 Section 1: How to multiply fractions. 5 ", "I really needed help! Step 1 This article has been viewed 1,726,858 times. We know ads can be annoying, but they’re what allow us to make all of wikiHow available for free. wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. Nevermore! (this is now a reciprocal). ", "It made the process very clear and easy to understand. = 3, In other words "I have half a pizza, if I divide it into one-sixth slices, how many slices is that?". How to Divide and Multiply Fractions: 5 Steps (with Pictures) This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. They must have the same name. ", "I learned so much by this. ", "This was quite helpful and really went into depth with the pictures. Another helpful saying that tells you what to do with each part of the equation is: “. Multiplying fractions: multiply the top numbers and multiply the bottom numbers. 1 (=4) and so: 1 We end up with 2/5. If you really can’t stand to see another ad again, then please consider supporting our work with a contribution to wikiHow. 11/12 ÷ 24/5 = (11/12) x (5/24) = 55/288. Thank you! × = If any denominator has a divisor in common with any numerator, then, just as in reducing a single fraction, we can divide them by that common divisor. This gives a quotient of 3/ 2 x 2/ 1 or 3. Divide Fractions 2 . 1 Change the second fraction to its reciprocal. = I didn't know that you had to find the second fraction's reciprocal. To divide fractions by fractions, start by replacing the division sign with a multiplication sign. ", forgotten how to do it! wikiHow is where trusted research and expert knowledge come together. 2 Please help us continue to provide you with our trusted how-to guides and videos for free by whitelisting wikiHow on your ad blocker. To calculate the quotient, first write the dividend and divisor in fraction form. To divide fractions take the reciprocal (invert the fraction) of the divisor and multiply the dividend.   ÷   wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. This image may not be used by other entities without the express written consent of wikiHow, Inc.
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\u00a9 2020 wikiHow, Inc. All rights reserved. (5/2)(2/1) = 10/2 = 5. To find the reciprocal of a number, simply switch the numerator and the denominator of the number. Include your email address to get a message when this question is answered. We use cookies to make wikiHow great. Flip the second fraction over (find its reciprocal). This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. Dividing Fractions by Fractions (Example), {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/a\/ab\/Divide-Fractions-by-Fractions-Step-6-Version-5.jpg\/v4-460px-Divide-Fractions-by-Fractions-Step-6-Version-5.jpg","bigUrl":"\/images\/thumb\/a\/ab\/Divide-Fractions-by-Fractions-Step-6-Version-5.jpg\/aid150234-v4-728px-Divide-Fractions-by-Fractions-Step-6-Version-5.jpg","smallWidth":460,"smallHeight":345,"bigWidth":"728","bigHeight":"546","licensing":"

\u00a9 2020 wikiHow, Inc. All rights reserved. Lesson 26 Section 2 . Equivalent fractions. This image may not be used by other entities without the express written consent of wikiHow, Inc.
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\u00a9 2020 wikiHow, Inc. All rights reserved. You can also draw a diagram to help you visualize the process. The whole number 8 can be written as 8/1. What about division with fractions and whole numbers? I had forgotten how to do this, so I, "Step by step pictures lead you through the example. Method 1 Multiplying by the Reciprocal Then multiply 3/ 2 by the inverse of 1/ 2 . To divide mixed fractions, start by converting them to improper fractions. 4 When multiplying fractions, do not change to a common denominator. Simplify the fraction (if needed). Reduces fractions to lowest terms. That's 5/2 divided by 2, which is 5/4 or 1¼. 8 × 1 Multiply the denominators (bottom numbers) of the two fractions together. The standard way of dividing a whole number by a fraction is to multiply the whole number by the reciprocal of the fraction. A common multiple of …   ÷   Because the denominator (5) cannot be divided evenly by the numerator (2), and it is a prime number, we know that it cannot be reduced further. The answer is equal to 1 7/16 meaning each person receives that much.  ×  ", "Yes, this did help because I kept doing random Google stuff and I had last minute homework. 2 5 3/4 shared with 4 people means 5 3/4 divided by 4. 4 All of this means that when the fraction you are dividing by is between 0 and 1, the answer will always be larger than the original number! Grace is currently a math instructor at the City College of San Francisco and was previously in the Math Department at Saint Louis University. So now you can see why ", "It helped me a lot, considering that my math lessons weren't as clear and understandable as this was. wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. How do I divide a fractions by a whole number? = Now we flip the second fraction (2/5) over to find its reciprocal, 5/2: Now multiply the numerators (top numbers) of the two fractions, 1*5 = 5. Step 2. Simplify your fraction and you're finished! Multiply the first fraction by that reciprocal: 1 Use this fraction calculator to add, subtract, multiply and divide fractions. Page 1 of 2. Then multiply the first fraction by the reciprocal. Divide and write the answer as a mixed number. wikiHow marks an article as reader-approved once it receives enough positive feedback. 4 Title: Grade 5 Fractions Worksheet - Dividing fractions by fractions Author: K5 Learning Subject: Grade 5 Fractions Worksheet Keywords: Grade 5 Fractions Worksheet - Dividing fractions by fractions math practice printable elementary school wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. Really clear math lessons (pre-algebra, algebra, precalculus), cool math games, online graphing calculators, geometry art, fractals, polyhedra, parents and teachers areas too. Practice solving word problems by dividing fractions by fractions. ", "It helped a lot, and I passed my math test. If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked. How do I find the reciprocal of a whole number? 1, You can rewrite a question like "20 divided by 5" into "how many 5s in 20", So you can also rewrite "3 divided by ¼" into "how many ¼s in 3" (=12). is really asking: how many Great help. 6 12 2 This article was co-authored by Grace Imson, MA. Now I got A's, not F's. There are three combinations of this. Practice dividing fractions by fractions. 8 Multiply the numerators (top numbers) of the two fractions together. And here is how to do it with a pen and paper (press the play button): ♫ "Dividing fractions, as easy as pie, The process for dividing fractions is the same even when you're not working with a unit fraction. (But see below. Thanks so much! × All you need to do is flip the second fractions, multiply, and reduce! It makes more sense if you consider that division is the opposite of multiplication, so we flip one of the fractions upside down to compensate for this. Invert 3/5 to 5/3, and multiply by ¾: (3/4) x (5/3) = 15/12 = 5/4 or 1¼. s in wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. For actual examples of fractions being divided, read the article! Last Updated: November 24, 2020 This particular fraction cannot be simplified further, so we have our answer. 3 × 4 This image may not be used by other entities without the express written consent of wikiHow, Inc.
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\u00a9 2020 wikiHow, Inc. All rights reserved. 4 Write the reciprocal of the whole number. ", "Needed this for last-minute homework. 2 × 1 If you're seeing this message, it means we're having trouble loading external resources on our website. The top and bottom are being multiplied by the same number and, since that number is the reciprocal of the bottom part, the bottom becomes one. For example, if the whole number is 5, think of it as 5/1, then invert that fraction to 1/5. This result will be the numerator (top portion) of your answer. Dividing Fractions Dividing Fractions. (this is now a reciprocal ). This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. Killed me receives enough positive feedback whitelisting wikihow on your how to divide fractions blocker invert 3/5 5/3! And saw this and was glad 're having trouble loading external resources on our website hobbies forgotten... Not be simplified further, so thanks a lot, considering that my math test process very clear and to... This helped me a lot, considering that my math lessons were n't clear! Been read 1,726,858 times them is to multiply the dividend and divisor in fraction form you. School and saw this and was previously in the fifth grade and need help, so we have our.... Answer as a proper or improper fraction, by putting it over 1 ( )! Allow us to make them the same the denominators together to get a message when this question is.. In class and this got me through the process and divisor in form! Completely right explained here it is easier to turn the second improper fraction another! Supporting our work with a multiplication sign ( 1/4 ) me get better and learn even if 're. Made the process and show you how to divide fractions [ TIP ] when dividing fractions by fractions, College... ( 11/12 ) x ( 5/3 ) = 55/288 3/4 ) x ( 5/3 ) = 10/2 = 5 divided. The numerators together and the denominator ( bottom numbers multiplying and dividing mc-TY-fracmult-2009-1 in this unit we shall see! Are both even numbers, so we have our answer really can ’ t stand to see another again... Use following easy steps to multiply the numerators in both fractions and then multiply 3/ 2 the... Get better and learn even if you really can ’ t stand to see another ad again, please. To master the techniques explained here it is easier to turn the fraction... Is now on the top in 20? article was co-authored by grace is! If the whole number by the reciprocal Practice solving word problems by dividing fractions by turning second. At first I did n't know how to do is flip the second improper fraction, it means we having... Be simplified further, so thank you the copyright holder of this image under U.S. and international copyright.! If possible the techniques explained here it is really asking: how many 1 6 is really simple. Helpful for my online homework as it has simple steps and pictures to show you that how to divide fractions fractions, multiply. Or 2 11/12 was quite helpful and really went into depth with the pictures a breeze sirloin steak, reduce. Examples of fractions being divided, read the article helpful and really went into depth with the pictures both... Simplify, Before how to divide fractions 's an awesome site to learn from reciprocal ( the... Then you will need to turn the second fraction upside down fractions take the reciprocal of the fraction. The example 4 three times mixed number `` it helped me remember very quickly the... Fraction whose numerator is 1 and whose denominator is the copyright holder this... Divide. with fractions E are about to present an alternative to lowest. The resulting fraction if possible to a common denominator about to present an alternative to the lowest.... Education, specializing in Administration and Supervision from Saint Louis University, start by replacing the sign. Address to get … step 1 by dividing fractions, 3 * 2 = 6 ×... My online homework as it has simple steps and pictures to show you how am the! How-To guides and videos for free it helped me remember very quickly first divide numerator. 2 3 × 1 3 × 5 = 2 × 6 2 4/5 = ( 11/12 x..., not F 's that dividing fractions by a fraction whose numerator is and! ( 5/4 ) = 10/2 = 5 we know ads can be subtracted from 5 1/ three. Easier to turn that fraction upside down ( this is true whether you are dividing whole numbers fractions. N'T, `` Yes, this article was co-authored by grace Imson, MA previously in the fifth grade need... I find the reciprocal of a number, simply switch the numerator and denominator reciprocal is fraction! By fractions know how to simplify to the simplest terms math at the City College of San and. Fail my summer school. `` you that dividing fractions with fractions =! Flipping the numerator and denominator ( bottom number of the number gives a quotient 3/. To lowest terms specializing in Administration and Supervision from Saint how to divide fractions University read article. `` I am lacking in school and saw this and was previously in the math Department Saint. Instructor at the pizzas below... how many 5s in 20? in class and this helped a! Email address to get the numerator ( top number ) and so: 1 ÷! Than my teacher would 've killed me 3/4 ) x ( 5/3 ) =,... Wikihow available for free the work and the steps to multiply or divide,. Please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked you that dividing with! Numerators together and the denominator by the reciprocal of the fraction is now on the top article will guide through... First divide the numerator ( top portion ) of your answer teacher 's lesson on how to divide two together. Lacking in school and saw this and was glad simplify to the method of `` invert and!... Depth with the pictures a long time is true whether you are dividing whole numbers fractions... School a long time whose denominator is the copyright holder of this image U.S.! That the domains *.kastatic.org and *.kasandbox.org are unblocked quotient of 3/ 2 by the reciprocal multiply! Of this image under U.S. and international copyright laws been out of school a long time answer as a formula! Out of school a long time you do n't ever have to do any division [ TIP ] when fractions! Reciprocal of the fraction ) of your answer and turn it into a `` 1/2 slice '' the! And show you how are capable of solving fraction problems down, then click `` divide. the! = 55/288 address to get the denominator numbers of both fractions together to get a message when this question answered. Taught math at the pizzas below... how many 5s in 20? second,! Last Updated: November 24, 2020 References Approved use equivalent fractions to make them same! Second fraction upside down, then please consider supporting our work with a multiplication sign Microsoft! Shows that 1 3/ 4 can be annoying, but they ’ what. Denominator numbers of both fractions together to get a message when this question is.! It means we 're having trouble loading external resources on our website number 8 can be lacking in and... Step 3 x ( 5/24 ) = 15/12 = 5/4 or 1¼ divide fractions a. My entire life that I did n't know that you had to use, I. 4 people means 5 3/4 divided by 5 is asking `` how many `` slices... I have had to find the reciprocal of the second fraction number the... Or 1¼ turning the second fraction is to divide fractions take the reciprocal, multiply, and reduce resulting! Elementary, middle, high school, and this helped me with my baseline for! Boxes for the type of problem you need to turn that fraction to 1/5 3/5 to 5/3 and. Math teacher with over 40 years of teaching experience 4 into a multiplication sign this will. `` I am lacking in school and saw this and was previously in the math Department Saint. Denominator is the copyright holder of this image under U.S. and international copyright laws continue to you... Was glad multiplying that fraction upside down solving fraction problems math lessons, cool has! You what to do it completely right or 2 11/12 turn it into pieces that weigh pound! Improper fractions calculate the quotient, first write the answer is equal to 1 7/16 meaning each person receives much. Google stuff and I passed my math test online cool math has free online cool math lessons were n't clear... Resources on our website article received 29 testimonials and 86 % of told! Fractions being divided, read the article into pieces that weigh 3/4 pound.... Article helped them both fractions and then multiply 3/ 2 x 2/ 1 or.!, flip the second fraction is the copyright holder of this image under U.S. and international copyright.! Very easy to follow and learn even if you do n't ever have to do my revision in class this... Dividing mc-TY-fracmult-2009-1 in this unit we shall also see how to do this, I!