Compare 42/63 and 30/27
1st number: 42/63, 2nd number: 1 3/27
42/63 is smaller than 30/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 63 and 27 is 189
Next, find the equivalent fraction of both fractional numbers with denominator 189 - For the 1st fraction, since 63 × 3 = 189,
42/63 = 42 × 3/63 × 3 = 126/189 - Likewise, for the 2nd fraction, since 27 × 7 = 189,
30/27 = 30 × 7/27 × 7 = 210/189 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 126/189 < 210/189 or 42/63 < 30/27
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