Compare 10/98 and 8/54
10/98 is smaller than 8/54
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 54 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 54 × 49 = 2646,
8/54 = 8 × 49/54 × 49 = 392/2646 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 270/2646 < 392/2646 or 10/98 < 8/54
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