Compare 42/27 and 12/7
1st number: 1 15/27, 2nd number: 1 5/7
42/27 is smaller than 12/7
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,
42/27 = 42 × 7/27 × 7 = 294/189 - Likewise, for the 2nd fraction, since 7 × 27 = 189,
12/7 = 12 × 27/7 × 27 = 324/189 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 294/189 < 324/189 or 42/27 < 12/7
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