To divide 3 by 1/3 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 3 ÷ 1/3
to
3 times 3/1 (3 x 3/1)
This gives us 9/1 which is equal to 9.
So 3 ÷ 1/3 = 9/1 also written as 9.
Note that if you multiplied 9 times 1/3 you would end with 3.
Multiplying a fraction by its reciprocal is often easier for more complicated fractions where finding a common denominator is more challenging.