Compare 12/28 and 49/16
1st number: 12/28, 2nd number: 3 1/16
12/28 is smaller than 49/16
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 16 is 112
Next, find the equivalent fraction of both fractional numbers with denominator 112 - For the 1st fraction, since 28 × 4 = 112,
12/28 = 12 × 4/28 × 4 = 48/112 - Likewise, for the 2nd fraction, since 16 × 7 = 112,
49/16 = 49 × 7/16 × 7 = 343/112 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 48/112 < 343/112 or 12/28 < 49/16
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