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Ordering fractions

Which fraction is bigger, 3/4 or 5/7 ?

It is hard to answer this question just by looking at the fractions. However, if you write the fractions with the same bottom number, the question will be easy.

3/4 has a denominator of 4, and 5/7 has a denominator of 7.

4 and 7 both divide into 28, so rewrite the fractions with a denominator of 28.

3/4= 21/28

5/7= 20/28

It is easy to see that 21/28 is bigger than 20/28.

Therefore 3/4 is bigger than 5/7.

To compare fractions, first write them with the same number at the bottom.

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