Compare 7/98 and 40/54
7/98 is smaller than 40/54
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,
7/98 = 7 × 27/98 × 27 = 189/2646 - Likewise, for the 2nd fraction, since 54 × 49 = 2646,
40/54 = 40 × 49/54 × 49 = 1960/2646 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 189/2646 < 1960/2646 or 7/98 < 40/54
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