Compare 7/75 and 40/16, Which fraction is greater?

Compare 7/75 and 40/16

1^st number: 7/75, 2^nd number: 2 8/16

7/75 is smaller than 40/16

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,
7/75 = 7 × 16/75 × 16 = 112/1200
Likewise, for the 2nd fraction, since 16 × 75 = 1200,
40/16 = 40 × 75/16 × 75 = 3000/1200
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
112/1200 < 3000/1200 or 7/75 < 40/16

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