Compare 40/42 and 15/96
40/42 is greater than 15/96
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,
40/42 = 40 × 16/42 × 16 = 640/672 - Likewise, for the 2nd fraction, since 96 × 7 = 672,
15/96 = 15 × 7/96 × 7 = 105/672 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 640/672 > 105/672 or 40/42 > 15/96
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