Compare 49/12 and 40/16
1st number: 4 1/12, 2nd number: 2 8/16
49/12 is greater than 40/16
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 16 is 48
Next, find the equivalent fraction of both fractional numbers with denominator 48 - For the 1st fraction, since 12 × 4 = 48,
49/12 = 49 × 4/12 × 4 = 196/48 - Likewise, for the 2nd fraction, since 16 × 3 = 48,
40/16 = 40 × 3/16 × 3 = 120/48 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 196/48 > 120/48 or 49/12 > 40/16
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