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# Equivalent Fractions

Equivalent Fractions have the same value, even though they may look different.

These fractions are really the same:
 1 = 2 = 4 2 4 8

Why are they the same? Because when you multiply or divide both the top and bottom by the same number, the fraction keeps it's value. The rule to remember is:

### What you do to the top of the fraction you must also do to the bottom of the fraction !

So, here is why those fractions are really the same:

 × 2 × 2 1 = 2 = 4 2 4 8 × 2 × 2
And visually it looks like this:

 1/2 2/4 4/8 = =

Here are some more equivalent fractions, this time by dividing:

 ÷ 3 ÷ 6 18 = 6 = 1 36 12 2 ÷ 3 ÷ 6

If we keep dividing until we can't go any further, then we have simplified the fraction (made it as simple as possible).

## Important:

• The top and bottom of the fraction must always be a whole number.
• So, the number you pick to divide by must always divide evenly (ie no remainders) for both the top and bottom numbers.
• You only multiply or divide, never add or subtract, to get an equivalent fraction.

## A Chart of Fractions

We also have a chart of fractions with each row giving you examples of equivalent fractions.