Compare 45/54 and 81/98
45/54 is greater than 81/98
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,
45/54 = 45 × 49/54 × 49 = 2205/2646 - Likewise, for the 2nd fraction, since 98 × 27 = 2646,
81/98 = 81 × 27/98 × 27 = 2187/2646 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 2205/2646 > 2187/2646 or 45/54 > 81/98
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