Compare 45/16 and 18/75, Which fraction is greater?

Compare 45/16 and 18/75

1^st number: 2 13/16, 2^nd number: 18/75

45/16 is greater than 18/75

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

Next, find the equivalent fraction of both fractional numbers with denominator 1200
For the 1st fraction, since 16 × 75 = 1200,
45/16 = 45 × 75/16 × 75 = 3375/1200
Likewise, for the 2nd fraction, since 75 × 16 = 1200,
18/75 = 18 × 16/75 × 16 = 288/1200
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
3375/1200 > 288/1200 or 45/16 > 18/75

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