Compare 4/15 and 21/32
4/15 is smaller than 21/32
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 32 is 480
Next, find the equivalent fraction of both fractional numbers with denominator 480 - For the 1st fraction, since 15 × 32 = 480,
4/15 = 4 × 32/15 × 32 = 128/480 - Likewise, for the 2nd fraction, since 32 × 15 = 480,
21/32 = 21 × 15/32 × 15 = 315/480 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 128/480 < 315/480 or 4/15 < 21/32
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