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