Compare 49/32 and 40/56
1st number: 1 17/32, 2nd number: 40/56
49/32 is greater than 40/56
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 56 is 224
Next, find the equivalent fraction of both fractional numbers with denominator 224 - For the 1st fraction, since 32 × 7 = 224,
49/32 = 49 × 7/32 × 7 = 343/224 - Likewise, for the 2nd fraction, since 56 × 4 = 224,
40/56 = 40 × 4/56 × 4 = 160/224 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 343/224 > 160/224 or 49/32 > 40/56
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