Compare 36/10 and 56/15
1st number: 3 6/10, 2nd number: 3 11/15
36/10 is smaller than 56/15
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 15 is 30
Next, find the equivalent fraction of both fractional numbers with denominator 30 - For the 1st fraction, since 10 × 3 = 30,
36/10 = 36 × 3/10 × 3 = 108/30 - 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
- 108/30 < 112/30 or 36/10 < 56/15
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