Compare 21/40 and 32/27
1st number: 21/40, 2nd number: 1 5/27
21/40 is smaller than 32/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 27 is 1080
Next, find the equivalent fraction of both fractional numbers with denominator 1080 - For the 1st fraction, since 40 × 27 = 1080,
21/40 = 21 × 27/40 × 27 = 567/1080 - Likewise, for the 2nd fraction, since 27 × 40 = 1080,
32/27 = 32 × 40/27 × 40 = 1280/1080 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 567/1080 < 1280/1080 or 21/40 < 32/27
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