Compare 10/42 and 42/96
10/42 is smaller than 42/96
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,
10/42 = 10 × 16/42 × 16 = 160/672 - Likewise, for the 2nd fraction, since 96 × 7 = 672,
42/96 = 42 × 7/96 × 7 = 294/672 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 160/672 < 294/672 or 10/42 < 42/96
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