Compare 8/81 and 42/56
8/81 is smaller than 42/56
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 81 and 56 is 4536
Next, find the equivalent fraction of both fractional numbers with denominator 4536 - For the 1st fraction, since 81 × 56 = 4536,
8/81 = 8 × 56/81 × 56 = 448/4536 - Likewise, for the 2nd fraction, since 56 × 81 = 4536,
42/56 = 42 × 81/56 × 81 = 3402/4536 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 448/4536 < 3402/4536 or 8/81 < 42/56
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