Compare 49/12 and 40/32
1st number: 4 1/12, 2nd number: 1 8/32
49/12 is greater than 40/32
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 32 is 96
Next, find the equivalent fraction of both fractional numbers with denominator 96 - For the 1st fraction, since 12 × 8 = 96,
49/12 = 49 × 8/12 × 8 = 392/96 - Likewise, for the 2nd fraction, since 32 × 3 = 96,
40/32 = 40 × 3/32 × 3 = 120/96 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 392/96 > 120/96 or 49/12 > 40/32
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