Compare 3/2 and 56/15
1st number: 1 1/2, 2nd number: 3 11/15
3/2 is smaller than 56/15
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 2 and 15 is 30
Next, find the equivalent fraction of both fractional numbers with denominator 30 - For the 1st fraction, since 2 × 15 = 30,
3/2 = 3 × 15/2 × 15 = 45/30 - Likewise, for the 2nd fraction, since 15 × 2 = 30,
56/15 = 56 × 2/15 × 2 = 112/30 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 45/30 < 112/30 or 3/2 < 56/15
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