Question

which is greater:
2/7 of ¾ or ⅗ of ⅝
{ans step by step.}​

Answer 1

Step-by-step explanation:

Firstly, to compare many quantities, all quantities must be like fractions .

So we convert all the given fractions into like fractions by taking the denominator of their LCM (least common multiple)

LCM of 7,4,5,8 = 280

:. The like fractions are :-

2/7 * 40/40 = 80/280

3/4 * 70/70 = 21/280

3/5 * 56/56 = 168/280

5/8 * 35/35 = 175/280

:. The obtained fractions are :-

80/280, 21/280, 168/280, 175/280

Arranging in descending order:-

175/280, 168/280, 80/280, 21/280

:. The greatest fraction in the like fractions is 175/280 .

Hence, 5/8 is the greater number in the given fractions.

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