Compare 24/32 and 32/7
1st number: 24/32, 2nd number: 4 4/7
24/32 is smaller than 32/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 7 is 224
Next, find the equivalent fraction of both fractional numbers with denominator 224 - For the 1st fraction, since 32 × 7 = 224,
24/32 = 24 × 7/32 × 7 = 168/224 - Likewise, for the 2nd fraction, since 7 × 32 = 224,
32/7 = 32 × 32/7 × 32 = 1024/224 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 168/224 < 1024/224 or 24/32 < 32/7
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