Compare 10/24 and 30/32
10/24 is smaller than 30/32
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,
10/24 = 10 × 4/24 × 4 = 40/96 - Likewise, for the 2nd fraction, since 32 × 3 = 96,
30/32 = 30 × 3/32 × 3 = 90/96 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 40/96 < 90/96 or 10/24 < 30/32
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