Compare 3/2 and 75/24
1st number: 1 1/2, 2nd number: 3 3/24
3/2 is smaller than 75/24
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 2 and 24 is 24
Next, find the equivalent fraction of both fractional numbers with denominator 24 - For the 1st fraction, since 2 × 12 = 24,
3/2 = 3 × 12/2 × 12 = 36/24 - Likewise, for the 2nd fraction, since 24 × 1 = 24,
75/24 = 75 × 1/24 × 1 = 75/24 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 36/24 < 75/24 or 3/2 < 75/24
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