Compare 21/32 and 20/30
21/32 is smaller than 20/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 30 is 480
Next, find the equivalent fraction of both fractional numbers with denominator 480 - For the 1st fraction, since 32 × 15 = 480,
21/32 = 21 × 15/32 × 15 = 315/480 - Likewise, for the 2nd fraction, since 30 × 16 = 480,
20/30 = 20 × 16/30 × 16 = 320/480 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 315/480 < 320/480 or 21/32 < 20/30
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