Compare 32/15 and 21/16
1st number: 2 2/15, 2nd number: 1 5/16
32/15 is greater than 21/16
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 16 is 240
Next, find the equivalent fraction of both fractional numbers with denominator 240 - For the 1st fraction, since 15 × 16 = 240,
32/15 = 32 × 16/15 × 16 = 512/240 - Likewise, for the 2nd fraction, since 16 × 15 = 240,
21/16 = 21 × 15/16 × 15 = 315/240 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 512/240 > 315/240 or 32/15 > 21/16
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