Compare 9/32 and 8/24
9/32 is smaller than 8/24
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 24 is 96
Next, find the equivalent fraction of both fractional numbers with denominator 96 - For the 1st fraction, since 32 × 3 = 96,
9/32 = 9 × 3/32 × 3 = 27/96 - Likewise, for the 2nd fraction, since 24 × 4 = 96,
8/24 = 8 × 4/24 × 4 = 32/96 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 27/96 < 32/96 or 9/32 < 8/24
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