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# Simplifying Fractions

To simplify a fraction, divide the top and bottom by the highest number that
can divide into both numbers exactly.

## Simplifying Fractions

Simplifying (or reducing) fractions means to make the fraction as simple as possible. Why say four-eighths (4/8) when you really mean half (1/2) ?

 4/8 ==> 2/4 ==> 1/2 (Four-Eighths) (Two-Quarters) (One-Half)   ## How do I Simplify a Fraction ?

There are two ways to simplify a fraction:

## Method 1

Try dividing both the top and bottom of the fraction until you can't go any further (try dividing by 2,3,5,7,... etc).

### Example: Simplify the fraction 24/108 :

 ÷ 2 ÷ 2 ÷ 3   24 = 12 = 6 = 2 108 54 27 9   ÷ 2 ÷ 2 ÷ 3

## Method 2

Divide both the top and bottom of the fraction by the Greatest Common Factor, (you have to work it out first!).

### Example: Simplify the fraction 8/12 :

1. The largest number that goes exactly into both 8 and 12 is 4, so the Greatest Common Factor is 4.

2. Divide both top and bottom by 4:
 ÷ 4 8 = 2 12 3 ÷ 4
And the answer is: 2/3

## A Chart of Fractions

We also have a chart of fractions with the simplest fraction highlighted.

## Simplifying Fractions Automatically

OK, there is a third method, use this tool: