Compare 75/32 and 30/3
1st number: 2 11/32, 2nd number: 10 0/3
75/32 is smaller than 30/3
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 3 is 96
Next, find the equivalent fraction of both fractional numbers with denominator 96 - For the 1st fraction, since 32 × 3 = 96,
75/32 = 75 × 3/32 × 3 = 225/96 - Likewise, for the 2nd fraction, since 3 × 32 = 96,
30/3 = 30 × 32/3 × 32 = 960/96 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 225/96 < 960/96 or 75/32 < 30/3
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