Compare 10/96 and 8/42
10/96 is smaller than 8/42
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 96 and 42 is 672
Next, find the equivalent fraction of both fractional numbers with denominator 672 - For the 1st fraction, since 96 × 7 = 672,
10/96 = 10 × 7/96 × 7 = 70/672 - Likewise, for the 2nd fraction, since 42 × 16 = 672,
8/42 = 8 × 16/42 × 16 = 128/672 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 70/672 < 128/672 or 10/96 < 8/42
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