Fractions 4

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Convert the following fractions into a set of like fractions :

3/4 , 5/6 , 4/9 , 1/8 , 7/12

Solution: Let us convert each of the given fractions into an equivalent fraction with
denominator equal to L.C.M. of 4, 6, 9, 8, 12.

L.C.M. of 4, 6, 9, 8, 12 = 2 * 2 * 3 * 3 * 2 = 72

So, 3/4 = (3 * 18) / (4 * 18) = 54 / 72

5/6 = (5 * 12) / (6 * 12) = 60 / 72

4/9 = (4 * 8) / (9 * 8) = 32 / 72

1/8 = (1 * 9) / (8 * 9) = 9 / 72

7/12 = (7 * 6) / (12 * 6) = 42 / 72

Hence, 54 / 72, 60 / 72, 32 / 72, 9 / 72, 42 / 72 is the required set of like fractions.

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