Compare 5/56 and 7/40
5/56 is smaller than 7/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 56 and 40 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 56 × 5 = 280,
5/56 = 5 × 5/56 × 5 = 25/280 - Likewise, for the 2nd fraction, since 40 × 7 = 280,
7/40 = 7 × 7/40 × 7 = 49/280 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 25/280 < 49/280 or 5/56 < 7/40
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