Compare 15/27 and 40/42, Which fraction is greater?

Compare 15/27 and 40/42

15/27 is smaller than 40/42

Find the least common denominator or LCM of the two denominators:
LCM of 27 and 42 is 378

Next, find the equivalent fraction of both fractional numbers with denominator 378
For the 1st fraction, since 27 × 14 = 378,
15/27 = 15 × 14/27 × 14 = 210/378
Likewise, for the 2nd fraction, since 42 × 9 = 378,
40/42 = 40 × 9/42 × 9 = 360/378
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
210/378 < 360/378 or 15/27 < 40/42

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