Compare 25/96 and 25/42
25/96 is smaller than 25/42
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,
25/96 = 25 × 7/96 × 7 = 175/672 - Likewise, for the 2nd fraction, since 42 × 16 = 672,
25/42 = 25 × 16/42 × 16 = 400/672 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 175/672 < 400/672 or 25/96 < 25/42
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