Compare 45/98 and 25/54
45/98 is smaller than 25/54
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,
45/98 = 45 × 27/98 × 27 = 1215/2646 - Likewise, for the 2nd fraction, since 54 × 49 = 2646,
25/54 = 25 × 49/54 × 49 = 1225/2646 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1215/2646 < 1225/2646 or 45/98 < 25/54
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