Compare 2/54 and 6/98
2/54 is smaller than 6/98
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 54 and 98 is 2646
Next, find the equivalent fraction of both fractional numbers with denominator 2646 - For the 1st fraction, since 54 × 49 = 2646,
2/54 = 2 × 49/54 × 49 = 98/2646 - Likewise, for the 2nd fraction, since 98 × 27 = 2646,
6/98 = 6 × 27/98 × 27 = 162/2646 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 98/2646 < 162/2646 or 2/54 < 6/98
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