Compare 12/96 and 63/90
12/96 is smaller than 63/90
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 96 and 90 is 1440
Next, find the equivalent fraction of both fractional numbers with denominator 1440 - For the 1st fraction, since 96 × 15 = 1440,
12/96 = 12 × 15/96 × 15 = 180/1440 - Likewise, for the 2nd fraction, since 90 × 16 = 1440,
63/90 = 63 × 16/90 × 16 = 1008/1440 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 180/1440 < 1008/1440 or 12/96 < 63/90
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