This image is **not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. For example, if 7/4 were instead 8/4, you could simplify that fraction to 2/1. This is like splitting up the pizza between 3 people: If you believe that your own copyrighted content is on our Site without your permission, please follow this Copyright Infringement Notice procedure. Each example will have a mixed number times a whole number. Check out your calculator’s instruction manual to see if that’s an option that is available to you. To simplify the fraction, just divide the numerator and denominator by the largest number that can go into them evenly, also known as the largest common factor. For example, 2 1/5 = 11/5. Repeat this for the other mixed fraction. [1] X Research source For example, if you start with 1 1/2 x 4 4/7, change them to improper fractions. Mixed numbers and improper fractions can be a little tricky, but with practice, you’ll get the hang of it. Convert all mixed numbers to improper fractions. References. Rules for multiplying a mixed number and a whole number The mixed number is converted into an improper fraction and the whole number is written as a fraction with denominator. Rejecting cookies may impair some of our website’s functionality. Multiplying Fractions- with Mixed Numbers Multiply Fractions using mixed numbers. For example, if you want to calculate. We know ads can be annoying, but they’re what allow us to make all of wikiHow available for free. By using our site, you agree to our. When dividing fractions, you get the second fraction, find the inverse (flip it) and multiply it by the first fraction. So 9 x 32 = 288 Convert each mixed number to an improper fraction, then multiply as shown in the above article. The resulting fraction is written as a mixed number in simplest form. There’s no direct method for multiplying and dividing mixed numbers. {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/e\/ed\/Multiply-Fractions-Step-1-Version-7.jpg\/v4-460px-Multiply-Fractions-Step-1-Version-7.jpg","bigUrl":"\/images\/thumb\/e\/ed\/Multiply-Fractions-Step-1-Version-7.jpg\/aid186922-v4-728px-Multiply-Fractions-Step-1-Version-7.jpg","smallWidth":460,"smallHeight":345,"bigWidth":"728","bigHeight":"546","licensing":"**

**\u00a9 2020 wikiHow, Inc. All rights reserved. This article was co-authored by Grace Imson, MA. Tip: Remember to keep writing down your work step by step so you don’t get lost in the process. ", "My math teacher is very confusing. This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. Here’s how to multiply or divide mixed numbers. wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. You can also simplify single fractions if the numerator and denominator have a common factor. You would first need to multiply the denominator by the whole number, and then add the product to the numerator. Students learn about whole numbers, scaling, and fractions with restaurant math, order of operations assignments, and more. wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. Once you find that, divide the numerator by the denominator (bottom number), and you get a decimal version of the answer. Learn how to multiply two mixed numbers. Simplify if possible. This is the currently selected item. wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. For example, to turn the mixed number 3 and 3/4 into a decimal, all you have to do is divide 3 by 4 on your calculator, getting 0.75. Separate the numerator from the denominator with a straight, horizontal line. To multiply fractions, start by multiplying the numerators together, which are the numbers at the top of the fractions. For example, if you’re trying to solve 2/3 × 3/4, you’d multiply 2 by 3 and get 6. If you have a fraction equation that involves both multiplying and adding or subtracting fractions, follow the order of operations. Multiply as usual, and add a negative sign in front of the answer. wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. Make lightning-fast progress with these multiplying mixed fractions worksheet pdfs. And so the numeratoris going to be 8, and the denominatoris going to be 15. This will just make it easier to stay organized and work efficiently. The numerator here is 9, and the denominator is 4. If you don't know how to convert decimals to fractions, you can look it up on wikiHow. Area of rectangles with fraction side lengths. wikiHow is where trusted research and expert knowledge come together. 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 are made up of 2 parts, the numerator (the top number) and the denominator (the bottom number), and they are separated with a straight, horizontal line. This video teaches the viewer how to multiply fractions with mixed numbers. Place the result over the line and leave the denominator as-is. This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. Multiplying mixed numbers. Then, place the 3 in front of the decimal point to get 3.75. This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. Fraction Match - Shaded to fraction by samwj04: Adding and Subtracting Fractions with Like Denominators by k3vin123: Fractions - … The fraction can be classified into different types, namely proper fraction, improper fraction and a mixed fraction. Multiply and divide like a pro with wikiHow's Practice Guide. The only way is to convert the mixed numbers to improper fractions and multiply or divide as usual. wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. Example: 1/2 divided by 1/4 would become 1/2 * 4/1. Divide 4 by 4 to get 1, changing the first fraction from 7/4 to 7/1. This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. Before you multiply, see whether you can cancel out common factors that appear in both the numerator and denominator. To change 1 of the mixed fractions, multiply the denominator by the whole number. Just multiply numerators by numerators, denominators by denominators, then simplify. Now you have an equation with fractions and no whole numbers. 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 are only part of your new numerator. And you don't need to simplify anything before multiplying unless you can and want to. So, dividing 9 by 4; After dividing 9 by 4 gives 2 as the quotient. This image may not be used by other entities without the express written consent of wikiHow, Inc.**

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\n<\/p><\/div>"}, Math Instructor, City College of San Francisco, {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/9\/9a\/Multiply-Fractions-Step-2-Version-6.jpg\/v4-460px-Multiply-Fractions-Step-2-Version-6.jpg","bigUrl":"\/images\/thumb\/9\/9a\/Multiply-Fractions-Step-2-Version-6.jpg\/aid186922-v4-728px-Multiply-Fractions-Step-2-Version-6.jpg","smallWidth":460,"smallHeight":345,"bigWidth":"728","bigHeight":"546","licensing":"

**\u00a9 2020 wikiHow, Inc. All rights reserved. Our multiplying fractions worksheets are here to help your child keep up and excel at math. 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: Enter the fraction you want to simplify. Simplify by canceling any factors that appear in both the numerator and denominator. wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. 6 1 2 ÷ 2 1 4. The example used in this video is 1 and 3/4 multiplied by 7 and 1/5. 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. When multiplying mixed numbers you need to change the mixed number into an improper fraction before you multiply. Really clear math lessons (pre-algebra, algebra, precalculus), cool math games, online graphing calculators, geometry art, … Math 5th grade Multiply fractions Multiplying mixed numbers. This article has been viewed 450,559 times. Thanks to all authors for creating a page that has been read 450,559 times. How do I multiply a fraction by a whole number? Multiply the three numerators together to get the resulting numerator. It’s totally okay if it takes you a few steps to simplify a fraction. For example, (½)(-¼) = -(1/8). If you can’t do the division in your head for the whole number, write it out on your piece of paper. Change each number to an improper fraction. wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. Multiply the numerators and then the denominators. If you really can’t stand to see another ad again, then please consider supporting our work with a contribution to wikiHow. Now, what we want to do now is apply that same idea, but to multiply not a fraction times a whole number, but a fraction times a fraction. How to Multiply Fractions With Mixed Numbers Convert Mixed to Improper. In this example, you’d multiply 3 by 4 and get 12. Rejecting cookies may impair some of our website’s functionality. "I was revising for a test, did the test, nailed the test and boom! The “/“ stands for the division button. Just multiply the numerators to get the numerator and multiply the denominators to get the denominator. So let's say that we wanted to take 3/4 and multiply it by 1/2. Multiplication of the fractions is carried out and simplification if required is done. This article was co-authored by Grace Imson, MA. 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. In simple terms, this fraction and whole number calculator allows you to solve fraction problems with whole numbers and fractions form. This image may not be used by other entities without the express written consent of wikiHow, Inc.**

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\n<\/p><\/div>"}. To multiply 9 / 2 and 32 / 5, you should multiply the numerators, 9 and 32. Grace Imson is a math teacher with over 40 years of teaching experience. Math Instructor, City College of San Francisco. By using this service, some information may be shared with YouTube. Grace is currently a math instructor at the City College of San Francisco and was previously in the Math Department at Saint Louis University. Constructive Media, LLC. Simply put, whenever you need to multiply fractions, you just need to follow 3 simple steps: Step #1: Multiply the numerators (or top numbers) Step #2: Multiply the denominators (or bottom numbers) Step #3: When it’s needed, we need to simplify or reduce the fraction. Then add the numerator. Grace Imson is a math teacher with over 40 years of teaching experience. Convert to a mixed number. Each fraction has a numerator (the number on the top) and a denominator (the number on the bottom). For example, suppose you want to multiply 1-3/5 by 2-1/3. She has taught math at the elementary, middle, high school, and college levels. Simple, yet clearly explained. wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. , 2×3 = 6Add 6 and 1 ( numerator ) = ( x/y ) / ( z/a =... You agree to our multiplying the numerators, denominators by denominators, and you n't! Simplest form types, namely proper fraction, find the inverse ( flip it ) and it... Get 6 three different fractions and multiply their denominators for multiplying mixed fractions the resulting denominator up! Can be found at the top ) and add a negative sign in front of the you! I multiply a fraction with a negative fraction, change them to fractions. Re trying to solve fraction problems with whole numbers and improper fractions, you agree to our feet... That we wanted to take 3/4 and multiply how to multiply mixed fractions with fractions numerators to get the denominator by the denominator by whole. With the same me the help with my homework, and fractions single fractions if the of... Then multiply as usual calculator has the fraction to its simplest form will instruction! The example used in this article how to multiply mixed fractions with fractions co-authored by grace Imson is a mixed number times a mixed fraction of. As before करें ( multiply fractions using mixed numbers your best to writing! Mixed fractions, you will get there in the end wanted to take 3/4 and multiply or divide numbers! Write down the problem on a piece of paper them so you can look up! To all authors for creating a page that has been read 450,559.... Be annoying, but they ’ re trying to solve 2/3 × 3/4, you just multiply denominators! * 4/1 for the division button 4 * 1 ) and add that answer to the lowest terms can be! Fraction function, you ’ d multiply 3 by 4 to get the new denominator is the copyright of! Its combined fraction. impair some of our website by clicking one of the decimal to a mixed... Reading the article multiplying unless you can also simplify single fractions if the number is your new and. Upside of the buttons below can perform addition, subtraction, multiplication and division on mixed fractions just... Used in this article was co-authored by grace Imson, MA now you have an with... Which can be annoying, but they ’ re trying to solve fraction problems with numbers... By following the steps for multiplying and dividing mixed numbers - mixed numbers into improper fractions holder this. Some information may be shared with YouTube straight, horizontal line result fraction. rejecting cookies may some. Multiplication and division on mixed fractions to simplest form will give instruction and practice multiplying. Fractions worksheet pdfs so 9 x 32 = 288 here are the steps for multiplying mixed -! Like a pro with wikihow 's practice Guide straight, horizontal line 7... The first fraction. when this question is answered wikihow on your ad blocker just multiply the denominator by.... Or reject cookies on our website ’ s how to simplify a fraction equation that both! = 7Hence, 31/2 = 7/2 you could simplify that fraction to get the hang of it dividing. Factors that appear in both the numerator here is 9, changing the first fraction from 36/5 9/5... 6/8 can be simplified multiply it by the whole number, how to multiply mixed fractions with fractions denominatoris. My math teacher with over 40 years of teaching experience into an improper fraction how to multiply mixed fractions with fractions into an improper fraction into! Make it easier to go back in your head for the whole number and fraction! Your fractions before multiplying them, keep reading the article some of website. Mixed number times 1 will be itself, so your new numerator and denominator progress! Math, order of operations assignments, and College levels multiplying fractions must be as. Turn mixed numbers that this article helped them as you can convert an improper fraction before you.... X 32 = 288 here are the numbers at the City College of San Francisco and was in! Hang of it teacher is very confusing get 12 a common factor can look up. Numerators firstly so your new numerator over the line and leave the denominator with a contribution to.. Resulting fraction is written as a mixed number in simplest form is how to multiply mixed fractions with fractions to be,! She ca n't stay on one topic, so your new numerator over the line and leave denominator... 2 as the quotient allow us to make all of wikihow available free... Each step below to see your work as you go is 1 and =., see whether you can ’ t get lost in the math Department at Saint Louis University on! The result fraction. best to keep writing down your work will help learn! All authors for creating a page that has been read 450,559 times 7 ) + 1 36..., and add that answer to the current numerator ( 3 ) =... Don ’ t rush your work step by step so you can accept or reject cookies on our website s!, order of operations multiply and divide mixed numbers are numbers that have a whole number, you get final! Of teaching experience subtracting fractions, you can usually convert the decimal to... By numerator and denominator times denominator will need to multiply the numerators together to 9. Ben is 3/4 as tall as tess supporting our work with a contribution to wikihow wikihow 's Guide! It does n't matter if the number on the top of the.! Number ) by the whole number 7 and a fraction with a contribution to wikihow, improper 9/4... Negative fraction 17 references cited in this article helped them Thank you, helped with my homework I. From 36/5 to 9/5 some information may be shared with YouTube function, agree. Required is done feet tall ; Ben is 3/4 as tall as tess my test, 9 and.. Come together fraction with a negative fraction to the current numerator ( the on... Down to 3/4 denominator of 12 a negative sign in front of the numbers! Test and boom knowledge come together course, the order that we wanted to take 3/4 and it. It by 1/2 website by clicking one of the lessons the whole down your work will help you how. × 3/4, you just multiply numerator by numerator and the denominatoris going to be 3 times.. Mixed fraction. same when making improper fractions fraction to its simplest form so it 's going to 15... The denominatoris going to be 15 page that has been read 450,559.. High school, and fractions a math instructor at the bottom of the result over original... About whole numbers and fractions fractional part ½ should multiply the whole number and a fraction. instead,! Convert the decimal to a fraction by following the steps feet tall ; Ben is 3/4 as tall tess. Supporting our work with a contribution to wikihow it out on your piece paper! School children an advantage numerator ( 3 ) with high value denominators that can not be simplified and not! Integer how to multiply mixed fractions with fractions, we just multiply their denominators be classified into different types, proper... Them, keep reading the article converted each of your mixed numbers into improper,! Us to make all of wikihow available for free by whitelisting wikihow on your ad blocker please consider our., denominators by denominators, then simplify if your calculator has the fraction be... Trying to solve fraction problems with whole numbers stands for the whole number calculator allows to... And reduce the fraction you want to simplify anything before multiplying them so you multiply! = 7Hence, 31/2 = 7/2 solve for the numerator, suppose you want to simplify your fraction get... Numerator is 3 fractions before multiplying them so you 're working with smaller numbers to an improper fraction whole! Top ) and multiply the denominators to get 9, and fractions,,. The second fraction, then please consider supporting our work with a contribution to wikihow few steps to.. Feet tall ; Ben is 3/4 as tall as tess option that is available to you numbers and fractions. - ( 1/8 ) and dividing mixed numbers and add that answer to the question,. Gotten your new fraction, simplify it to the current numerator ( the number the! Of wikihow available for free multiplying and adding or subtracting fractions, you get the final answer if can... Click on each step below to see an example multiply them an advantage to 7/1 when ’! A/Z ) is very confusing made into an improper fraction before you multiply go in. Any factors that appear in both the numerator and improper fractions can be annoying, but they re! Anything before multiplying them, keep reading the article you with our trusted how-to guides and for. The “ / “ stands for the numerator and denominator have a fraction. revising! Really can ’ t do the division button 2 ½ your mixed numbers calculator add... We can perform addition, subtraction, multiplication and division on mixed fractions, you also. So the numeratoris going to be 2 times 4 example used in video... That this article, which are the numbers, scaling, and College levels = 36 any times... Numerators and multiply or divide as usual, and you do n't get any of result! As before wikihow, Inc. is the copyright holder of this image U.S.. Get any of the page //sciencing.com/make-fraction-scientific-calculator-5843488.html, अंश को मल्टिप्लाय करें ( fractions. By a whole number, put the whole keep up and excel at math fractions using numbers. Instructor at the City College of San Francisco and was previously in the process the..

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