Compare 10/27 and 15/98
10/27 is greater than 15/98
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 98 is 2646
Next, find the equivalent fraction of both fractional numbers with denominator 2646 - For the 1st fraction, since 27 × 98 = 2646,
10/27 = 10 × 98/27 × 98 = 980/2646 - Likewise, for the 2nd fraction, since 98 × 27 = 2646,
15/98 = 15 × 27/98 × 27 = 405/2646 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 980/2646 > 405/2646 or 10/27 > 15/98
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