Compare 25/63 and 40/96
25/63 is smaller than 40/96
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,
25/63 = 25 × 32/63 × 32 = 800/2016 - Likewise, for the 2nd fraction, since 96 × 21 = 2016,
40/96 = 40 × 21/96 × 21 = 840/2016 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 800/2016 < 840/2016 or 25/63 < 40/96
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