Compare 40/27 and 45/18
1st number: 1 13/27, 2nd number: 2 9/18
40/27 is smaller than 45/18
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 18 is 54
Next, find the equivalent fraction of both fractional numbers with denominator 54 - For the 1st fraction, since 27 × 2 = 54,
40/27 = 40 × 2/27 × 2 = 80/54 - Likewise, for the 2nd fraction, since 18 × 3 = 54,
45/18 = 45 × 3/18 × 3 = 135/54 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 80/54 < 135/54 or 40/27 < 45/18
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