Compare 4/42 and 35/96
4/42 is smaller than 35/96
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,
4/42 = 4 × 16/42 × 16 = 64/672 - Likewise, for the 2nd fraction, since 96 × 7 = 672,
35/96 = 35 × 7/96 × 7 = 245/672 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 64/672 < 245/672 or 4/42 < 35/96
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