**How Can You Divide Fractions** – All this means is that we flip the fraction so that the numerator becomes the divisor and each numerator becomes the numerator.

We care about it because it helps us take ownership of the identity. In other words, when a number is multiplied by its reciprocal, it will always equal one!

## How Can You Divide Fractions

Throughout this lesson, we will notice that the reciprocal of a whole number will always be a unit fraction. The reciprocal of a mixed number will always be a proper fraction.

#### Dividing Fractions Using Fraction Strips

The key to dividing fractions is reciprocal because the only operations we can perform on fractions are:

So, we have to have some way to turn division into its inverse multiplication operation, and the way we do that is by flipping our fraction!

Before we get to the steps, let’s look at a visual representation of how immersion fractions work by looking at the area model.

## Dividing Fractions In 3 Easy Steps: Your Complete Guide — Mashup Math

And as we have seen with multiplication, while an area model represents the distribution process, it is not always practical to use.

We will now evaluate our numerical equation by multiplying the first fraction of three-fifths by the reciprocal of the second fraction.

We’ll also see that our rules for multiplying fractions come into play, because after changing our division problems as noted on the Prodigy blog, we’ll want to subtract our fractions before multiplying. The math you did in elementary school seems difficult to adults because there are so many rules and special words. And dividing fractions is no different – you need to flip the fractions and know words like divisor, dividend, and reciprocal. This may seem difficult to remember, but it is not with a little practice.

### Multiplying And Dividing Fractions

Because math is all about memorizing terms and conditions, and if you can do that, dividing fractions is child’s play. Division is the opposite of multiplication, so one thing you need to remember when dividing fractions is that the result will always be greater than one part of the problem. You are basically trying to find how many divisors (the second number in the problem) can be found in the dividend (the first number).

The first step in dividing fractions is to look at both of your fractions, take a deep breath, and tell yourself that if a sixth grader can do it, you probably can.

The second first step is quite simple. Suppose you are trying to find the answer to 2/3 ÷ 1/6. Do nothing! Keep these numbers as they are.

### How Many Ways: Divide Fractions Equal 1/4 ＊ Byrdseed.tv

The second step is to multiply the two components. So, you simply change the ÷ sign to an x sign: 2/3 ÷ 1/6 becomes 2/3 x 1/6.

The third step is to take the interaction of the separator, but don’t panic! This simply means that you have to flip the quotient (the top number) and the denominator (the bottom number) to the right of the quotient sign, which is called the divisor.

For example, if you divide 2/3 by 1/6, you start working on the problem by flipping the divisor: 2/3 x 6/1 = 12/3.

## Using Subtraction To Divide Fractions

You can see that the fraction is no longer an exact fraction, where the numerator is less than the denominator; is an improper fraction, which means that the number represented by the fraction is greater than 1.

No, it’s close, but you don’t have a definitive answer. All you have to do next is simplify the fraction 12/3. You can do this by finding the largest number that divides both the numerator and the denominator evenly, which, in this case, is 3, meaning the fraction simplifies to 4/1, or just 4.

Special offer on antivirus software from HowStuffWorks and TotalAV Security Try our crossword puzzles! Can you solve this puzzle? Welcome to this 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 by fractions (and even by whole numbers).

#### How Harry Potter Helped With Dividing Fractions

Below you will 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 lesson and a free answer worksheet!

Before you learn how to divide fractions using the Keep-Change-Flip method, you need to make sure you understand how to multiply fractions together (which is even easier than dividing!). .

Since multiplication of fractions is usually taught before division, you probably already know how to multiply two fractions together. If so, you can skip to the next section.

#### How To Divide Fractions

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

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

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

## Learning By Questions

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

And then if we visualize 1/4 and 1/2, we can clearly see that 1/2 contains 2 1/4, so the final answer is 2.

As in Example 01, you can fix this using the keep change flip method:

#### Free Hands On Dividing Fractions Activity With A Valentine’s Day Theme

What would happen if you were to divide a fraction by a whole number? It turns out that the process is exactly the same as in the previous examples!

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

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

## Math Example: Fraction Operations Dividing Fractions: Example 15

Watch the video lesson below to learn more about dividing fractions by whole numbers and dividing fractions by fractions:

Looking for a little extra practice dividing fractions? Click on the links below to download the free worksheets and answer key: We use cookies to do great things. By using our site, you accept our cookie policy. Cookie settings

This article was co-authored by David Jia. David Jia 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 more. After receiving perfect scores of 800 in Math and 690 in English on the SAT, David received a Dickinson Scholarship to the University of Miami, where he majored in Business Administration. Additionally, David has worked as an online video instructor for textbook companies such as Larson Texts, Big Ideas Learning, and Big Ideas Math.

## How To Teach Dividing Fractions With Models

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Dividing fractions by 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 reciprocal of that fraction, and multiply the result by the first fraction. If you want to know how to do this, follow these steps:

This article was co-authored by David Jia. David Jia 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 more. After receiving perfect scores of 800 in Math and 690 in English on the SAT, David received a Dickinson Scholarship to the University of Miami, where he majored in Business Administration. Additionally, David has worked as an online video instructor for textbook companies such as Larson Texts, Big Ideas Learning, and Big Ideas Math. This article was viewed 852, 148 times.

#### Dividing Fractions (year 6)

To divide a fraction by a whole number, start by writing the whole number as a 1 so it looks like a fraction. Next, find the reciprocal of the whole number by interchanging the numerator and denominator. Your interaction should look like 1 over the integer. When you “divide” fractions by whole numbers, you are actually multiplying fractions by whole number conversions. To do this, multiply the numerators and denominators of the two fractions. Finally, simplify the result as much as possible. If you want to learn more, like how to simplify your fraction when you’re done, keep reading!