Compare 75/32 and 16/7
1st number: 2 11/32, 2nd number: 2 2/7
75/32 is greater than 16/7
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,
75/32 = 75 × 7/32 × 7 = 525/224 - Likewise, for the 2nd fraction, since 7 × 32 = 224,
16/7 = 16 × 32/7 × 32 = 512/224 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 525/224 > 512/224 or 75/32 > 16/7
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