Compare 30/27 and 40/7
1st number: 1 3/27, 2nd number: 5 5/7
30/27 is smaller than 40/7
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,
30/27 = 30 × 7/27 × 7 = 210/189 - Likewise, for the 2nd fraction, since 7 × 27 = 189,
40/7 = 40 × 27/7 × 27 = 1080/189 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 210/189 < 1080/189 or 30/27 < 40/7
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