Compare 75/32 and 24/28
1st number: 2 11/32, 2nd number: 24/28
75/32 is greater than 24/28
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 28 is 224
Next, find the equivalent fraction of both fractional numbers with denominator 224 - For the 1st fraction, since 32 × 7 = 224,
75/32 = 75 × 7/32 × 7 = 525/224 - Likewise, for the 2nd fraction, since 28 × 8 = 224,
24/28 = 24 × 8/28 × 8 = 192/224 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 525/224 > 192/224 or 75/32 > 24/28
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