Compare 15/14 and 56/9
1st number: 1 1/14, 2nd number: 6 2/9
15/14 is smaller than 56/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 9 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 14 × 9 = 126,
15/14 = 15 × 9/14 × 9 = 135/126 - Likewise, for the 2nd fraction, since 9 × 14 = 126,
56/9 = 56 × 14/9 × 14 = 784/126 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 135/126 < 784/126 or 15/14 < 56/9
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