Compare 1/27 and 40/63
1/27 is smaller than 40/63
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 63 is 189
Next, find the equivalent fraction of both fractional numbers with denominator 189 - For the 1st fraction, since 27 × 7 = 189,
1/27 = 1 × 7/27 × 7 = 7/189 - Likewise, for the 2nd fraction, since 63 × 3 = 189,
40/63 = 40 × 3/63 × 3 = 120/189 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 7/189 < 120/189 or 1/27 < 40/63
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