Compare 6/24 and 14/32
6/24 is smaller than 14/32
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,
6/24 = 6 × 4/24 × 4 = 24/96 - Likewise, for the 2nd fraction, since 32 × 3 = 96,
14/32 = 14 × 3/32 × 3 = 42/96 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 24/96 < 42/96 or 6/24 < 14/32
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