Compare 21/15 and 40/27
1st number: 1 6/15, 2nd number: 1 13/27
21/15 is smaller than 40/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 27 is 135
Next, find the equivalent fraction of both fractional numbers with denominator 135 - For the 1st fraction, since 15 × 9 = 135,
21/15 = 21 × 9/15 × 9 = 189/135 - Likewise, for the 2nd fraction, since 27 × 5 = 135,
40/27 = 40 × 5/27 × 5 = 200/135 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 189/135 < 200/135 or 21/15 < 40/27
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