Compare 21/84 and 9/32
21/84 is smaller than 9/32
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 32 is 672
Next, find the equivalent fraction of both fractional numbers with denominator 672 - For the 1st fraction, since 84 × 8 = 672,
21/84 = 21 × 8/84 × 8 = 168/672 - Likewise, for the 2nd fraction, since 32 × 21 = 672,
9/32 = 9 × 21/32 × 21 = 189/672 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 168/672 < 189/672 or 21/84 < 9/32
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