Compare 10/7 and 84/27
1st number: 1 3/7, 2nd number: 3 3/27
10/7 is smaller than 84/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 27 is 189
Next, find the equivalent fraction of both fractional numbers with denominator 189 - For the 1st fraction, since 7 × 27 = 189,
10/7 = 10 × 27/7 × 27 = 270/189 - Likewise, for the 2nd fraction, since 27 × 7 = 189,
84/27 = 84 × 7/27 × 7 = 588/189 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 270/189 < 588/189 or 10/7 < 84/27
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