Compare 7/81 and 8/42
7/81 is smaller than 8/42
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 81 and 42 is 1134
Next, find the equivalent fraction of both fractional numbers with denominator 1134 - For the 1st fraction, since 81 × 14 = 1134,
7/81 = 7 × 14/81 × 14 = 98/1134 - Likewise, for the 2nd fraction, since 42 × 27 = 1134,
8/42 = 8 × 27/42 × 27 = 216/1134 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 98/1134 < 216/1134 or 7/81 < 8/42
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