Compare 32/3 and 75/4
1st number: 10 2/3, 2nd number: 18 3/4
32/3 is smaller than 75/4
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 4 is 12
Next, find the equivalent fraction of both fractional numbers with denominator 12 - For the 1st fraction, since 3 × 4 = 12,
32/3 = 32 × 4/3 × 4 = 128/12 - Likewise, for the 2nd fraction, since 4 × 3 = 12,
75/4 = 75 × 3/4 × 3 = 225/12 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 128/12 < 225/12 or 32/3 < 75/4
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