To divide 18 by 2/3 we can either multiply the first fraction by its reciprocal OR we could find a common denominator for both fractions. In this video we'll use the reciprocal method. Both methods produce the same answer in fraction form.
First we change 18 ÷ 2/3
to
18 times 3/2 (18 x 3/2)
This gives us 54/2 which is equal to 27.
So 3 ÷ 2/3 = 54/2.
Note that if you multiplied 54/2 times 2/3 you would end with 27.
Multiplying a fraction by its reciprocal is often easier for more complicated fractions where finding a common denominator is more challenging.
