Compare 21/32 and 49/6
1st number: 21/32, 2nd number: 8 1/6
21/32 is smaller than 49/6
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 6 is 96
Next, find the equivalent fraction of both fractional numbers with denominator 96 - For the 1st fraction, since 32 × 3 = 96,
21/32 = 21 × 3/32 × 3 = 63/96 - Likewise, for the 2nd fraction, since 6 × 16 = 96,
49/6 = 49 × 16/6 × 16 = 784/96 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 63/96 < 784/96 or 21/32 < 49/6
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