How Do I Divide Fractions With Different Denominators

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This article was co-authored by Mario Banuelos, PhD. Mario Banuelos is an assistant professor of mathematics at California State University, Fresno. With more than eight years of teaching experience, Mario specializes in mathematical biology, optimization, statistical models of genome evolution, and data science. Mario holds a BA in Mathematics from California State University, Fresno and a Ph.D. in Applied Mathematics from the University of California, Merced. Mario has taught at the high school and college levels.

How Do I Divide Fractions With Different Denominators

How Do I Divide Fractions With Different Denominators

There are 8 references mentioned in this article, which can be found at the bottom of the page.

Question Video: Using Bar Models To Divide A Fraction By A Whole Number

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How Do I Divide Fractions With Different Denominators

To multiply fractions, all you have to do is multiply the numerators and denominators and simplify the result. To divide fractions, you invert the numerator and denominator of one of the fractions, multiply the result by the other fraction, and simplify. If you want to learn how to divide and multiply fractions in less time, follow these steps.

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How Do I Divide Fractions With Different Denominators

Lesson Video: Dividing Mixed Numbers

This article was co-authored by Mario Banuelos, PhD. Mario Banuelos is an assistant professor of mathematics at California State University, Fresno. With more than eight years of teaching experience, Mario specializes in mathematical biology, optimization, statistical models of genome evolution, and data science. Mario holds a BA in Mathematics from California State University, Fresno and a Ph.D. in Applied Mathematics from the University of California, Merced. Mario has taught at the high school and college levels. This article has been viewed 489,735 times.

To multiply fractions, start by multiplying the numbers or the higher number of each fraction. For example, if you want to multiply 1/12 × 3/4, multiply 1 × 3 = 6 first. Then multiply the number, it becomes 12 × 4 = 48, which makes the fraction 6/ 48. After multiplying the top and bottom, divide to get the greatest common factor or GCF. In most cases, you can start with 2 if it’s an even number. Once you have the GCF, divide the numerator and denominator to reduce the fraction. By dividing by 6, the sample fraction is reduced by 1/8. To learn how to divide fractions, read on! We use cookies to improve. By using our website, you accept our cookie policy. Setting cookies

How Do I Divide Fractions With Different Denominators

This article was co-authored by David Zia. David Zia is an academic tutor and founder of LA Math Tutoring, a private tutoring company based in Los Angeles, California. With over 10 years of teaching experience, David works with students of all ages and grades in a variety of subjects, as well as providing college admissions counseling and test preparation for the SAT, ACT, ISEE and beyond. After receiving a perfect 800 math score and 690 English on the SAT, David was awarded a Dickinson Scholarship to the University of Miami, where he graduated with a bachelor’s degree in business administration. Additionally, David Larson has worked as an instructor for online videos for book companies such as Text, Big Ideas Learning, and Big Ideas Math.

Dividing Fractions Online Worksheet

Dividing fractions of whole numbers is not as difficult as it seems. To divide a fraction by a whole number, all you have to do is convert the whole number to a fraction, find the average of that fraction, and multiply the result by the first fraction. If you want to know how to do it, follow these steps:

How Do I Divide Fractions With Different Denominators

This article was co-authored by David Zia. David Zia is an academic tutor and founder of LA Math Tutoring, a private tutoring company based in Los Angeles, California. With over 10 years of teaching experience, David works with students of all ages and grades in a variety of subjects, as well as providing college admissions counseling and test preparation for the SAT, ACT, ISEE and beyond. After receiving a perfect 800 math score and 690 English on the SAT, David was awarded a Dickinson Scholarship to the University of Miami, where he graduated with a bachelor’s degree in business administration. Additionally, David Larson has worked as an instructor for online videos for book companies such as Text, Big Ideas Learning, and Big Ideas Math. This article has been viewed 832,760 times.

To divide a fraction by a whole number, start by writing the whole number as a 1 so that it looks like a fraction. Then, find the average of the whole number by interchanging the numerators and denominators. Your average total should be more like 1. If you “divide” fractions of a whole number, you are actually multiplying the fraction by the reciprocal of the whole number. To do this, multiply the numerators and denominators of the two fractions. Finally, make the result as simple as you can. If you want to learn more, like how to simplify your chips after you’re done, keep reading the article! Welcome to the free step-by-step guide to dividing fractions. This guide will teach you how to use a simple three-step method called Keep-Change-Flip to easily divide fractions into fractions (and even whole-number fractions).

How Do I Divide Fractions With Different Denominators

Dividing Fractions And Mixed Numbers

You’ll find several examples of how to divide fractions using the Keep-Change-Flip method, along with an explanation of why this method works for any math problem that involves dividing fractions. Plus, this free guide includes an animated video tutorial and a free worksheet with answers!

Before learning how to divide fractions using the Keep-Change-Flip method, make sure you understand how to multiply fractions together (it’s even easier than division!).

How Do I Divide Fractions With Different Denominators

Since multiplying fractions is usually taught before dividing fractions, you probably already know how to multiply two fractions together. If that’s the case, you can move on to the next section.

Fractions: Week Three

Rule for Multiplying Fractions: Whenever multiplying fractions, multiply the numerators together, then multiply the denominators as follows…

How Do I Divide Fractions With Different Denominators

Now that you know how to multiply fractions, you’re ready to learn how to divide fractions using the simple 3-step flip-change method.

To solve this example (and any problem where you need to divide fractions, we use the Keep-Change-Flip method)

How Do I Divide Fractions With Different Denominators

How To Multiply Fractions

If we think of 1/2 ÷ 1/4 in the form of a question: How many 1/4s are there in 1/2?

Then if we draw 1/4 and 1/2, we can clearly see that 2 1/4s is 1/2, hence the final answer is 2.

How Do I Divide Fractions With Different Denominators

As in Example 01, you can solve this problem by using the conversion method as follows:

Dividing Fractions (simple How To W/ 21 Examples!)

What if you need to divide a fraction by a whole number? It turns out that the process is similar to the previous examples!

How Do I Divide Fractions With Different Denominators

Note that in this example, you are dividing the fraction by a whole number. But converting whole number to fraction is very easy. All you have to do is rewrite the number as a fraction, where the number is the numerator and the denominator is 1.

Now that you’ve rewritten the whole number as a fraction, you can use the Keep-Change-Flip method to solve the problem.

How Do I Divide Fractions With Different Denominators

Teaching Fraction Division: A Visual And Conceptual Approach

Watch the video tutorial below to learn more about how to divide fractions into fractions and fractions into whole numbers:

Are you looking for a fractional part? Click on the links below to download your free worksheet and answer key: Here you will find a variety of free printable worksheets and resources to help your child learn to divide fractions by fractions.

How Do I Divide Fractions With Different Denominators

Here you will find a selection of fractions worksheets designed to help your child convert a fraction into another fraction or divide a fraction into a whole number.

Add And Subtract With Unlike Denominators 1 Worksheet

Papers are carefully graded so that the easiest papers come first and the hardest papers come last.

How Do I Divide Fractions With Different Denominators

Sheet 5 is similar to Sheets 3 & 4, but the fractions must also be converted to mixed fraction answers.

This short video walkthrough shows some problems on Division of Fractions 1 worksheet and it was created by the best math channel West Explains.

How Do I Divide Fractions With Different Denominators

Fractions: Where It All Goes Wrong

If you need some help solving problems with this sheet, please watch the video below!

Once you learn these two concepts, it is important to cultivate and practice both to gain confidence.

How Do I Divide Fractions With Different Denominators

Paper 1 & 2 will have 24 questions. Fractions require simplification, but improper fractions are left out.

How To Solve Fraction Questions In Math: 10 Steps (with Pictures)

We have several support pages designed to help you understand how to multiply and divide fractions.

How Do I Divide Fractions With Different Denominators

This support page shows how to convert improper fractions to mixed numbers and how to convert mixed numbers to improper fractions.

It involves dividing both the numerator and denominator by common factors to reduce the fraction to an equivalent fraction with the smallest possible denominator.

How Do I Divide Fractions With Different Denominators

Formula For Dividing Fractions

At the end of the questions, you will have the option to view your results by clicking ‘View’

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