# Dividing Simple Fractions

### 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.

### Rule 15: To divide a fraction by a whole number, convert the division process to a multiplication process, and complete the following steps.

1.
Convert the whole number to a fraction.
2.
Change the sign to x and invert the fraction to the right of the sign.
3.
Multiply the numerators.
4.
Multiply the denominators.
5.
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.

### Rule 16: To divide three or more fractions, complete the following three steps.

1.
Change the signs to x sign and invert the fractions to the right of the signs.
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.

Rule 14

Rule 15

Rule 16

[Identification] [Factoring Integers] [Reducing Fractions] [Multiplication]