Compare 40/27 and 35/21
1st number: 1 13/27, 2nd number: 1 14/21
40/27 is smaller than 35/21
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 21 is 189
Next, find the equivalent fraction of both fractional numbers with denominator 189 - For the 1st fraction, since 27 × 7 = 189,
40/27 = 40 × 7/27 × 7 = 280/189 - Likewise, for the 2nd fraction, since 21 × 9 = 189,
35/21 = 35 × 9/21 × 9 = 315/189 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 280/189 < 315/189 or 40/27 < 35/21
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