Compare 21/32 and 12/84
21/32 is greater than 12/84
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 84 is 672
Next, find the equivalent fraction of both fractional numbers with denominator 672 - For the 1st fraction, since 32 × 21 = 672,
21/32 = 21 × 21/32 × 21 = 441/672 - Likewise, for the 2nd fraction, since 84 × 8 = 672,
12/84 = 12 × 8/84 × 8 = 96/672 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 441/672 > 96/672 or 21/32 > 12/84
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