Compare 42/56 and 40/24
1st number: 42/56, 2nd number: 1 16/24
42/56 is smaller than 40/24
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 56 and 24 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 56 × 3 = 168,
42/56 = 42 × 3/56 × 3 = 126/168 - Likewise, for the 2nd fraction, since 24 × 7 = 168,
40/24 = 40 × 7/24 × 7 = 280/168 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 126/168 < 280/168 or 42/56 < 40/24
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