Compare 20/27 and 21/42
20/27 is greater than 21/42
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 42 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 27 × 14 = 378,
20/27 = 20 × 14/27 × 14 = 280/378 - Likewise, for the 2nd fraction, since 42 × 9 = 378,
21/42 = 21 × 9/42 × 9 = 189/378 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 280/378 > 189/378 or 20/27 > 21/42
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