Compare 12/56 and 15/21
12/56 is smaller than 15/21
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 56 and 21 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 56 × 3 = 168,
12/56 = 12 × 3/56 × 3 = 36/168 - Likewise, for the 2nd fraction, since 21 × 8 = 168,
15/21 = 15 × 8/21 × 8 = 120/168 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 36/168 < 120/168 or 12/56 < 15/21
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