Compare 10/25 and 75/98
10/25 is smaller than 75/98
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 25 and 98 is 2450
Next, find the equivalent fraction of both fractional numbers with denominator 2450 - For the 1st fraction, since 25 × 98 = 2450,
10/25 = 10 × 98/25 × 98 = 980/2450 - Likewise, for the 2nd fraction, since 98 × 25 = 2450,
75/98 = 75 × 25/98 × 25 = 1875/2450 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 980/2450 < 1875/2450 or 10/25 < 75/98
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