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How to Divide a Fraction by Another Fraction or by an Integer

Learn how to divide a fraction by another fraction or by an integer

By
Jason Marshall, PhD,
July 3, 2012

 

To divide a fraction by another fraction, just remember to invert and multiply. In other words, invert (or flip) the numerator and denominator of the fraction on the bottom of the division problem and multiply it by the fraction on the top of the division problem. For example, in the problem (3/5) / (2/3), start by inverting the fraction on the bottom of the division problem to get the new fraction 3/2. Then multiply this by the fraction on the top of the division problem to get the answer: 3/5 x 3/2 = (3 x 3) / (5 x 2) = 9/10.

To divide a fraction by an integer, just remember that you can write any integer as a fraction that has a denominator of 1. For example, the problem (5/3) / 4 can also be written (5/3) / (4/1). Once it’s written this way, simply invert and multiply to get the answer: 5/3 x 1/4 = (5 x 1) / (3 x 4) = 5/12.


For more, see How To Divide Fractions Using Invert and Multiply
 

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