Compare 12/75 and 21/56
12/75 is smaller than 21/56
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 56 is 4200
Next, find the equivalent fraction of both fractional numbers with denominator 4200 - For the 1st fraction, since 75 × 56 = 4200,
12/75 = 12 × 56/75 × 56 = 672/4200 - Likewise, for the 2nd fraction, since 56 × 75 = 4200,
21/56 = 21 × 75/56 × 75 = 1575/4200 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 672/4200 < 1575/4200 or 12/75 < 21/56
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