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Question

Arrange the following fractions in descending order:
57, 914, 1721 and 3142

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Solution

The given fractions are 57, 914, 1721 and 3142.
L.C.M. of 7, 14, 21 and 42 = (2 ⨯ 3 ⨯ 7) = 42


We convert each one of the fractions whose denominator is not equal to 42 into an equivalent fraction with denominator 42.
Thus, we have:
57 = 5×67×6 = 3042; 914 = 9×314×3 = 2742; 1721 = 17×221×2 = 3442
Clearly, 3442 >3142 >3042 >2742
∴ ​1721 >3142 >57 >914
Hence, the given fractions can be arranged in the descending order as follows:
1721,3142,57, 914

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