Compare 6/21 and 20/96
6/21 is greater than 20/96
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,
6/21 = 6 × 32/21 × 32 = 192/672 - Likewise, for the 2nd fraction, since 96 × 7 = 672,
20/96 = 20 × 7/96 × 7 = 140/672 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 192/672 > 140/672 or 6/21 > 20/96
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