Compare 3/21 and 9/96
3/21 is greater than 9/96
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 96 is 672
Next, find the equivalent fraction of both fractional numbers with denominator 672 - For the 1st fraction, since 21 × 32 = 672,
3/21 = 3 × 32/21 × 32 = 96/672 - Likewise, for the 2nd fraction, since 96 × 7 = 672,
9/96 = 9 × 7/96 × 7 = 63/672 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 96/672 > 63/672 or 3/21 > 9/96
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