Compare 3/98 and 49/50
3/98 is smaller than 49/50
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,
3/98 = 3 × 25/98 × 25 = 75/2450 - Likewise, for the 2nd fraction, since 50 × 49 = 2450,
49/50 = 49 × 49/50 × 49 = 2401/2450 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 75/2450 < 2401/2450 or 3/98 < 49/50
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