Compare 8/14 and 21/27
8/14 is smaller than 21/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 27 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 14 × 27 = 378,
8/14 = 8 × 27/14 × 27 = 216/378 - Likewise, for the 2nd fraction, since 27 × 14 = 378,
21/27 = 21 × 14/27 × 14 = 294/378 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 216/378 < 294/378 or 8/14 < 21/27
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