Compare 21/18 and 40/27
1st number: 1 3/18, 2nd number: 1 13/27
21/18 is smaller than 40/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 18 and 27 is 54
Next, find the equivalent fraction of both fractional numbers with denominator 54 - For the 1st fraction, since 18 × 3 = 54,
21/18 = 21 × 3/18 × 3 = 63/54 - Likewise, for the 2nd fraction, since 27 × 2 = 54,
40/27 = 40 × 2/27 × 2 = 80/54 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 63/54 < 80/54 or 21/18 < 40/27
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