Compare 27/42 and 81/96
27/42 is smaller than 81/96
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 96 is 672
Next, find the equivalent fraction of both fractional numbers with denominator 672 - For the 1st fraction, since 42 × 16 = 672,
27/42 = 27 × 16/42 × 16 = 432/672 - Likewise, for the 2nd fraction, since 96 × 7 = 672,
81/96 = 81 × 7/96 × 7 = 567/672 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 432/672 < 567/672 or 27/42 < 81/96
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