# Dividing Simple Fractions: Example 1

Rule 14: To divide one fraction by a second fraction, convert the problem to multiplication and multiply the two fractions.

1.
Change the sign to x and invert the fraction to the right of the sign.
2.
Multiply the numerators.
3.
Multiply the denominators.
4.
Reduce the results. (See Rule 10)
a.
Factor the product of the numerators.
b.
Factor the product of the denominators.
c.
Look for the fractions that have a value of 1.

Example 1: Multiply .

Solution: Change the division sign to multiplication and invert the fraction to the right of the sign.

Multiply the numerators and the denominators, but leave them in factored form. .

Factor the numerator and denominator and look for the fractions that have a value of 1.

Check: Now prove the answer with your calculator. Calculate 3 divided by 40, 9 divided by 8, and divide the first answer by the second answer. Now calculate 1 divided by 15. If you are correct, the answers are the same (equivalent) and you have successfully divided a fraction by a second fraction.