Compare 8/5 and 56/27
1st number: 1 3/5, 2nd number: 2 2/27
8/5 is smaller than 56/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 27 is 135
Next, find the equivalent fraction of both fractional numbers with denominator 135 - For the 1st fraction, since 5 × 27 = 135,
8/5 = 8 × 27/5 × 27 = 216/135 - Likewise, for the 2nd fraction, since 27 × 5 = 135,
56/27 = 56 × 5/27 × 5 = 280/135 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 216/135 < 280/135 or 8/5 < 56/27
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