Compare 49/24 and 42/28
1st number: 2 1/24, 2nd number: 1 14/28
49/24 is greater than 42/28
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 24 and 28 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 24 × 7 = 168,
49/24 = 49 × 7/24 × 7 = 343/168 - Likewise, for the 2nd fraction, since 28 × 6 = 168,
42/28 = 42 × 6/28 × 6 = 252/168 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 343/168 > 252/168 or 49/24 > 42/28
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