Compare 15/16 and 40/7, Which fraction is greater?

Compare 15/16 and 40/7

1^st number: 15/16, 2^nd number: 5 5/7

15/16 is smaller than 40/7

Find the least common denominator or LCM of the two denominators:
LCM of 16 and 7 is 112

Next, find the equivalent fraction of both fractional numbers with denominator 112
For the 1st fraction, since 16 × 7 = 112,
15/16 = 15 × 7/16 × 7 = 105/112
Likewise, for the 2nd fraction, since 7 × 16 = 112,
40/7 = 40 × 16/7 × 16 = 640/112
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
105/112 < 640/112 or 15/16 < 40/7

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