Compare 49/32 and 40/16
1st number: 1 17/32, 2nd number: 2 8/16
49/32 is smaller than 40/16
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 16 is 32
Next, find the equivalent fraction of both fractional numbers with denominator 32 - For the 1st fraction, since 32 × 1 = 32,
49/32 = 49 × 1/32 × 1 = 49/32 - Likewise, for the 2nd fraction, since 16 × 2 = 32,
40/16 = 40 × 2/16 × 2 = 80/32 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 49/32 < 80/32 or 49/32 < 40/16
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