Compare 1/12 and 32/75, Which fraction is greater?

Compare 1/12 and 32/75

1/12 is smaller than 32/75

Find the least common denominator or LCM of the two denominators:
LCM of 12 and 75 is 300

Next, find the equivalent fraction of both fractional numbers with denominator 300
For the 1st fraction, since 12 × 25 = 300,
1/12 = 1 × 25/12 × 25 = 25/300
Likewise, for the 2nd fraction, since 75 × 4 = 300,
32/75 = 32 × 4/75 × 4 = 128/300
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
25/300 < 128/300 or 1/12 < 32/75

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