Compare 24/75 and 49/16, Which fraction is greater?

Compare 24/75 and 49/16

1^st number: 24/75, 2^nd number: 3 1/16

24/75 is smaller than 49/16

Find the least common denominator or LCM of the two denominators:
LCM of 75 and 16 is 1200

Next, find the equivalent fraction of both fractional numbers with denominator 1200
For the 1st fraction, since 75 × 16 = 1200,
24/75 = 24 × 16/75 × 16 = 384/1200
Likewise, for the 2nd fraction, since 16 × 75 = 1200,
49/16 = 49 × 75/16 × 75 = 3675/1200
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
384/1200 < 3675/1200 or 24/75 < 49/16

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