Compare 15/63 and 40/42, Which fraction is greater?

Compare 15/63 and 40/42

15/63 is smaller than 40/42

Find the least common denominator or LCM of the two denominators:
LCM of 63 and 42 is 126

Next, find the equivalent fraction of both fractional numbers with denominator 126
For the 1st fraction, since 63 × 2 = 126,
15/63 = 15 × 2/63 × 2 = 30/126
Likewise, for the 2nd fraction, since 42 × 3 = 126,
40/42 = 40 × 3/42 × 3 = 120/126
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
30/126 < 120/126 or 15/63 < 40/42

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