Compare 56/9 and 49/42
1st number: 6 2/9, 2nd number: 1 7/42
56/9 is greater than 49/42
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 42 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 9 × 14 = 126,
56/9 = 56 × 14/9 × 14 = 784/126 - Likewise, for the 2nd fraction, since 42 × 3 = 126,
49/42 = 49 × 3/42 × 3 = 147/126 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 784/126 > 147/126 or 56/9 > 49/42
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