Compare 5/56 and 40/54
5/56 is smaller than 40/54
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 56 and 54 is 1512
Next, find the equivalent fraction of both fractional numbers with denominator 1512 - For the 1st fraction, since 56 × 27 = 1512,
5/56 = 5 × 27/56 × 27 = 135/1512 - Likewise, for the 2nd fraction, since 54 × 28 = 1512,
40/54 = 40 × 28/54 × 28 = 1120/1512 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 135/1512 < 1120/1512 or 5/56 < 40/54
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