Compare 21/30 and 30/32
21/30 is smaller than 30/32
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 32 is 480
Next, find the equivalent fraction of both fractional numbers with denominator 480 - For the 1st fraction, since 30 × 16 = 480,
21/30 = 21 × 16/30 × 16 = 336/480 - Likewise, for the 2nd fraction, since 32 × 15 = 480,
30/32 = 30 × 15/32 × 15 = 450/480 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 336/480 < 450/480 or 21/30 < 30/32
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