Compare 40/63 and 15/96
40/63 is greater than 15/96
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 63 and 96 is 2016
Next, find the equivalent fraction of both fractional numbers with denominator 2016 - For the 1st fraction, since 63 × 32 = 2016,
40/63 = 40 × 32/63 × 32 = 1280/2016 - Likewise, for the 2nd fraction, since 96 × 21 = 2016,
15/96 = 15 × 21/96 × 21 = 315/2016 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1280/2016 > 315/2016 or 40/63 > 15/96
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