Compare 15/96 and 8/21
15/96 is smaller than 8/21
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 96 and 21 is 672
Next, find the equivalent fraction of both fractional numbers with denominator 672 - For the 1st fraction, since 96 × 7 = 672,
15/96 = 15 × 7/96 × 7 = 105/672 - Likewise, for the 2nd fraction, since 21 × 32 = 672,
8/21 = 8 × 32/21 × 32 = 256/672 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 105/672 < 256/672 or 15/96 < 8/21
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