Compare 8/27 and 35/56
8/27 is smaller than 35/56
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 56 is 1512
Next, find the equivalent fraction of both fractional numbers with denominator 1512 - For the 1st fraction, since 27 × 56 = 1512,
8/27 = 8 × 56/27 × 56 = 448/1512 - Likewise, for the 2nd fraction, since 56 × 27 = 1512,
35/56 = 35 × 27/56 × 27 = 945/1512 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 448/1512 < 945/1512 or 8/27 < 35/56
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