Compare 8/15 and 75/96
8/15 is smaller than 75/96
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 96 is 480
Next, find the equivalent fraction of both fractional numbers with denominator 480 - For the 1st fraction, since 15 × 32 = 480,
8/15 = 8 × 32/15 × 32 = 256/480 - Likewise, for the 2nd fraction, since 96 × 5 = 480,
75/96 = 75 × 5/96 × 5 = 375/480 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 256/480 < 375/480 or 8/15 < 75/96
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