Compare 10/9 and 84/42
1st number: 1 1/9, 2nd number: 2 0/42
10/9 is smaller than 84/42
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,
10/9 = 10 × 14/9 × 14 = 140/126 - Likewise, for the 2nd fraction, since 42 × 3 = 126,
84/42 = 84 × 3/42 × 3 = 252/126 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 140/126 < 252/126 or 10/9 < 84/42
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