Compare 10/27 and 7/14
10/27 is smaller than 7/14
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 14 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 27 × 14 = 378,
10/27 = 10 × 14/27 × 14 = 140/378 - Likewise, for the 2nd fraction, since 14 × 27 = 378,
7/14 = 7 × 27/14 × 27 = 189/378 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 140/378 < 189/378 or 10/27 < 7/14
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