Compare 8/56 and 10/27
8/56 is smaller than 10/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 56 and 27 is 1512
Next, find the equivalent fraction of both fractional numbers with denominator 1512 - For the 1st fraction, since 56 × 27 = 1512,
8/56 = 8 × 27/56 × 27 = 216/1512 - Likewise, for the 2nd fraction, since 27 × 56 = 1512,
10/27 = 10 × 56/27 × 56 = 560/1512 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 216/1512 < 560/1512 or 8/56 < 10/27
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