Compare 27/75 and 60/96, Which fraction is greater?

Compare 27/75 and 60/96

27/75 is smaller than 60/96

Find the least common denominator or LCM of the two denominators:
LCM of 75 and 96 is 2400

Next, find the equivalent fraction of both fractional numbers with denominator 2400
For the 1st fraction, since 75 × 32 = 2400,
27/75 = 27 × 32/75 × 32 = 864/2400
Likewise, for the 2nd fraction, since 96 × 25 = 2400,
60/96 = 60 × 25/96 × 25 = 1500/2400
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
864/2400 < 1500/2400 or 27/75 < 60/96

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