Compare 12/98 and 42/54
12/98 is smaller than 42/54
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,
12/98 = 12 × 27/98 × 27 = 324/2646 - Likewise, for the 2nd fraction, since 54 × 49 = 2646,
42/54 = 42 × 49/54 × 49 = 2058/2646 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 324/2646 < 2058/2646 or 12/98 < 42/54
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