Sometimes we need to compare two fractions to find which is larger or smaller.

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There are two key ways to to compare fractions: utilizing decimals, or making use of the same denominator.

## The Decimal method of to compare Fractions

Convert each fraction to decimals, and also then to compare the decimals.

### Example: which is bigger: 38 or 512 ?

Convert each fraction to a decimal.

We can use a calculator (3÷8 and 5÷12), or the technique on Converting fountain to Decimals.

Anyway, these are the answers ns get:

38 = 0.375, and also 512 = 0.4166...

So 512 is bigger.

## The same Denominator Method The denominator is the bottom number in a fraction.

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It reflects how countless equal components the article is split into

### Example: 49 is less than 59 (because 4 is less than 5) is less than 49 59

But once the denominators space not the exact same we have to make castle the same (using equivalent Fractions).

### Example: which is larger: 38 or 512 ?

Look in ~ this:

When we multiply 8 × 3 we obtain 24,and as soon as we multiply 12 × 2 us also acquire 24,

so let"s try that (important: what we do to the bottom we must additionally do to the top):

× 3

## Making the denominators the Same

There are two key methods to do the denominator the same:

They both work, use which one you prefer!

### Example: i beg your pardon is larger: 56 or 1115 ?

Using the usual Denominator method we multiply each fraction by the denominator of the other:

 × 15 5 = 75 6 90 × 15
and
 × 6 11 = 66 15 90 × 6

We can see that 7590 is the larger fraction (because 75 is an ext than 66)

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