Compare 7/24 and 27/32
7/24 is smaller than 27/32
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 24 and 32 is 96
Next, find the equivalent fraction of both fractional numbers with denominator 96 - For the 1st fraction, since 24 × 4 = 96,
7/24 = 7 × 4/24 × 4 = 28/96 - Likewise, for the 2nd fraction, since 32 × 3 = 96,
27/32 = 27 × 3/32 × 3 = 81/96 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 28/96 < 81/96 or 7/24 < 27/32
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