Compare 40/28 and 49/12
1st number: 1 12/28, 2nd number: 4 1/12
40/28 is smaller than 49/12
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 12 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 28 × 3 = 84,
40/28 = 40 × 3/28 × 3 = 120/84 - Likewise, for the 2nd fraction, since 12 × 7 = 84,
49/12 = 49 × 7/12 × 7 = 343/84 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 120/84 < 343/84 or 40/28 < 49/12
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