Compare 15/12 and 42/28
1st number: 1 3/12, 2nd number: 1 14/28
15/12 is smaller than 42/28
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 28 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 12 × 7 = 84,
15/12 = 15 × 7/12 × 7 = 105/84 - Likewise, for the 2nd fraction, since 28 × 3 = 84,
42/28 = 42 × 3/28 × 3 = 126/84 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 105/84 < 126/84 or 15/12 < 42/28
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