Compare 3/56 and 40/16
1st number: 3/56, 2nd number: 2 8/16
3/56 is smaller than 40/16
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 56 and 16 is 112
Next, find the equivalent fraction of both fractional numbers with denominator 112 - For the 1st fraction, since 56 × 2 = 112,
3/56 = 3 × 2/56 × 2 = 6/112 - Likewise, for the 2nd fraction, since 16 × 7 = 112,
40/16 = 40 × 7/16 × 7 = 280/112 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 6/112 < 280/112 or 3/56 < 40/16
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