Compare 9/27 and 42/7
1st number: 9/27, 2nd number: 6 0/7
9/27 is smaller than 42/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 7 is 189
Next, find the equivalent fraction of both fractional numbers with denominator 189 - For the 1st fraction, since 27 × 7 = 189,
9/27 = 9 × 7/27 × 7 = 63/189 - Likewise, for the 2nd fraction, since 7 × 27 = 189,
42/7 = 42 × 27/7 × 27 = 1134/189 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 63/189 < 1134/189 or 9/27 < 42/7
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