Dividing Fractions

"Keep, Change, Flip"


Teacher's Guide
On Off
Start your free trial.

‪Keep, change, flip! Dividing fractions is no problem when you have this mnemonic to guide you through the process.


Using ‘Keep, change, flip' is simple. Keep the first fraction as is, change the sign from division to multiplication, and flip the second fraction, putting the numerator on the bottom and the denominator on the top. Then multiply the two fractions to solve.


‪Solve 3 5 ÷ 2 3 using ‘Keep, change, flip.'
Step 1: Change the division sign to multiplication.
3 5 × 2 3
Step 2: Flip the second fraction.
3 5 × 3 2
Step 3: Multiply.
3 5 × 3 2 = (3 × 3) / (5 × 2) = 9 10

‪Dividing by 2 and multiplying by 1 2 are actually the same thing.

10 ÷ 2 = 5

10 1 × 1 2 = 10 2 = 5

‪The reciprocal of a fraction is its ‘flipped' counterpart--the denominator of one is the numerator of the other, and vice versa. The reciprocal of 2 3 is 3 2 , and the reciprocal of 5 6 is 6 5 .
Dividing by a fraction and multiplying by that fraction's reciprocal will always give you the same thing.

Copyright ©2014 FlocabularyTerms|Privacy Policy|Credits