Compare 10/98 and 14/27
10/98 is smaller than 14/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 27 is 2646
Next, find the equivalent fraction of both fractional numbers with denominator 2646 - For the 1st fraction, since 98 × 27 = 2646,
10/98 = 10 × 27/98 × 27 = 270/2646 - Likewise, for the 2nd fraction, since 27 × 98 = 2646,
14/27 = 14 × 98/27 × 98 = 1372/2646 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 270/2646 < 1372/2646 or 10/98 < 14/27
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