We have changed our privacy policy. In addition, we use cookies on our website for various purposes. By continuing on our website, you consent to our use of cookies. You can learn about our practices by reading our privacy policy.
© 2016 Shmoop University, Inc. All rights reserved.
GO TO SAT PREP GO TO ACT PREP
Fractions & Decimals

Fractions & Decimals

At a Glance - Dividing Fractions

SAVE IT, CHANGE IT, FLIP IT.

That is all you need to remember when dividing fractions. Easy as 1, 2, 3.  Seriously, it's almost as easy as multiplying; you just need to add one more step, multiply by the reciprocal of the 2nd fraction. Let's look at this example:

5/9 / 1/4 SAVE IT.
Keep the first fraction the same
5/9 x 4/1CHANGE IT and FLIP IT.
Change the division sign to a multiplication sign.
Take the reciprocal of the second fraction.
20/9 =Now, multiply and reduce as usual
2 2/9And here's our answer.

Look Out: always flip the second fraction, not the first!

Division Example 1

2/3 / 4/9


Division Example 2

5/6 / 10

First, turn 10 into a fraction by placing over a denominator of 1.


Division Example 3

2 3/4 +/ 1 5/8

Change the mixed numbers into improper fractions.

A rule of thumb: if a problem initially presents a fraction as a mixed number, then the answer should be written as a mixed number, not an improper fraction.


Exercise 1

Divide 3/4 / 5/6


Exercise 2

 7/10 / 14 divided by 14


Exercise 3

2 1/2 / 5/8


Exercise 4

3 1/5 / 1 4/5


Advertisement