Compare 40/63 and 18/27
40/63 is smaller than 18/27
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,
40/63 = 40 × 3/63 × 3 = 120/189 - Likewise, for the 2nd fraction, since 27 × 7 = 189,
18/27 = 18 × 7/27 × 7 = 126/189 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 120/189 < 126/189 or 40/63 < 18/27
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