Compare 9/30 and 21/56
9/30 is smaller than 21/56
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 56 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 30 × 28 = 840,
9/30 = 9 × 28/30 × 28 = 252/840 - Likewise, for the 2nd fraction, since 56 × 15 = 840,
21/56 = 21 × 15/56 × 15 = 315/840 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 252/840 < 315/840 or 9/30 < 21/56
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