Compare 12/42 and 42/75
12/42 is smaller than 42/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 75 is 1050
Next, find the equivalent fraction of both fractional numbers with denominator 1050 - For the 1st fraction, since 42 × 25 = 1050,
12/42 = 12 × 25/42 × 25 = 300/1050 - Likewise, for the 2nd fraction, since 75 × 14 = 1050,
42/75 = 42 × 14/75 × 14 = 588/1050 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 300/1050 < 588/1050 or 12/42 < 42/75
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