Compare 2/96 and 9/21
2/96 is smaller than 9/21
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,
2/96 = 2 × 7/96 × 7 = 14/672 - Likewise, for the 2nd fraction, since 21 × 32 = 672,
9/21 = 9 × 32/21 × 32 = 288/672 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 14/672 < 288/672 or 2/96 < 9/21
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