# Multiplying and Dividing Fractions

## Multiplying Fractions

When you multiply fractions, just multiply the numerator by the numerator, and the denominator by the denominator. The result of the numerator multiplication will be the numerator of the answer and the result of the denominator multiplication will be the denominator of the answer. After you multiply the fractions, you might need to reduce the result.

### Multiplying a Fraction by a Whole Number

If you need to multiply a fraction by a whole number, you should convert the whole number to an improper fraction where that number is the numerator and 1 is the denominator.

### Converting an Improper Fraction to a Whole Number

You might then need to convert this improper fraction of 28/5 to a mixed number in order to choose the correct answer. This is done by dividing the numerator, 28, by the denominator, 5, and leaving the remainder as the numerator of the fraction and the denominator unchanged.

### Multiplying a Fraction by a Mixed Number and Converting Mixed Numbers to Improper Fractions

If you need to multiply a fraction by a mixed number, first convert the mixed number to an improper fraction. The way to convert a mixed number to an improper fraction is by multiplying the whole number of the mixed number by the denominator and adding this product to the numerator.

## Dividing Fractions

The way you divide a fraction by a fraction is by flip-flopping the second fraction (replace the numerator with the denominator and the denominator with the numerator) and then multiplying the fractions.

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• #### Ziyi

###### March 1, 2012 at 7:22 am

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• #### Alexander

###### November 28, 2012 at 10:37 pm

Thank You SOOOOO MUCH I now FULLY UNDERSTAND HOW TO ADD SUBTRACT MULTIPLY AND DIVIDE FRACTIONS FROM THE BACK OF MY HEAD NOW. IT’S SO EASY WHEN YOU KEEP DOING IT OVER AND OVER AGAIN. Now hopefully i can go take my GED and Pass with 80% or higher thank you so much again

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• #### renee H

###### February 25, 2013 at 4:25 pm

i would like to know how to reduce large fractions,i get confused and dont know how to find a number that goes into the numerator and denominator like you did above 174/21

• #### windy

###### March 4, 2013 at 9:23 pm

on thr dividing of fractions the last problem how did they get the 3 inorder to divid and reduce? Are they just using the denominator from the 2/3?

• #### Aaron

###### July 31, 2013 at 9:39 pm

Three was the common reducing number, 3 goes into 15 5 times and into 18 6 times.

• #### Tesa

###### October 7, 2013 at 3:58 pm

– –
16×9

How did they come up ith the value .243?

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###### November 11, 2013 at 11:01 pm

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• #### nick

###### November 15, 2013 at 4:12 pm

do you have a section for scientific notation,if not i know the test has it so could you include it

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• #### joshua

###### November 15, 2016 at 10:13 pm

is 516/56= 129/14= 9 3/8?