Compare 16/15 and 56/9
1st number: 1 1/15, 2nd number: 6 2/9
16/15 is smaller than 56/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 9 is 45
Next, find the equivalent fraction of both fractional numbers with denominator 45 - For the 1st fraction, since 15 × 3 = 45,
16/15 = 16 × 3/15 × 3 = 48/45 - Likewise, for the 2nd fraction, since 9 × 5 = 45,
56/9 = 56 × 5/9 × 5 = 280/45 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 48/45 < 280/45 or 16/15 < 56/9
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