#
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 .

**Answer:** The answer is .

**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.

### If you are interested in reviewing another example, click on the word
Example.

[Menu Back]

S.O.S MATHematics home page
Do you need more help? Please post your question on our
S.O.S. Mathematics CyberBoard.

*Author:
Nancy Marcus** *

Copyright © 1999-2017 MathMedics, LLC. All rights reserved.

Contact us

Math Medics, LLC. - P.O. Box 12395 - El Paso TX 79913 - USA

users online during the last hour