Compare 12/98 and 42/50
12/98 is smaller than 42/50
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 50 is 2450
Next, find the equivalent fraction of both fractional numbers with denominator 2450 - For the 1st fraction, since 98 × 25 = 2450,
12/98 = 12 × 25/98 × 25 = 300/2450 - Likewise, for the 2nd fraction, since 50 × 49 = 2450,
42/50 = 42 × 49/50 × 49 = 2058/2450 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 300/2450 < 2058/2450 or 12/98 < 42/50
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