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Fractions & Decimals

Fractions & Decimals

At a Glance - Dividing Fractions


That is all you need to remember when dividing fractions. Easy as 1, 2, 3.  Seriously, it's almost as easy as multiplying; you just need to add one more step, multiply by the reciprocal of the 2nd fraction. Let's look at this example:

5/9 / 1/4 SAVE IT.
Keep the first fraction the same
5/9 x 4/1CHANGE IT and FLIP IT.
Change the division sign to a multiplication sign.
Take the reciprocal of the second fraction.
20/9 =Now, multiply and reduce as usual
2 2/9And here's our answer.

Look Out: always flip the second fraction, not the first!

Division Example 1

2/3 / 4/9

Division Example 2

5/6 / 10

First, turn 10 into a fraction by placing over a denominator of 1.

Division Example 3

2 3/4 +/ 1 5/8

Change the mixed numbers into improper fractions.

A rule of thumb: if a problem initially presents a fraction as a mixed number, then the answer should be written as a mixed number, not an improper fraction.

Exercise 1

Divide 3/4 / 5/6

Exercise 2

 7/10 / 14 divided by 14

Exercise 3

2 1/2 / 5/8

Exercise 4

3 1/5 / 1 4/5