Dividing Fractions
The next easiest to multiplying fractions is dividing fractions. Just like in multiplying fractions, it does not matter whether the denominators are equal or not. It is pretty much like multiplying fractions with one extra step: getting the reciprocal of the divisor or dividend. So, the steps in dividing a fraction by another fraction are:

  1. Find the reciprocal of one of the fractions (divisor OR dividend).

  2. Multiply the fractions.



To demonstrate how we go about dividing fractions, here is an example:

2/3 ÷ 1/4 = 2/3 x 4/1


2x4/3x1 = 8/3 or 2 2/3





In dividing mixed fractions, one more step is needed and that is converting the mixed fraction into its equivalent improper fraction before getting the reciprocal and multiplying them..

Here is an example:

21/8 ÷ 1/7 = (8 x 2)+1/8 ÷ 1/7


(16)+1/8 ÷ 1/7 = 17/8 ÷ 1/7


17/8 ÷ 1/7 = 17/8 x 7/1


(17 x 7)/(8 x 1) = 119/9 or 132/9




Resource

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