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Question : Which of the following statements is true?
I. $\frac{5}{11}>\frac{5}{6}$
II. $\frac{5}{9}>\frac{8}{9}$
III. $\frac{5}{6}>\frac{4}{5}$

Option 1: Only III

Option 2: Both I and II

Option 3: Only II

Option 4: Only I


Team Careers360 24th Jan, 2024
Answer (1)
Team Careers360 25th Jan, 2024

Correct Answer: Only III


Solution : Fractions with the same numerator are compared based on their denominators. The fraction with the smaller denominator is greater.
Fractions with the same denominator are compared based on their numerators. The fraction with the larger numerator is greater.
I. $\frac{5}{11} < \frac{5}{6}$ ($\frac{5}{11}$ is smaller than $\frac{5}{6}$ as their numerators are equal and 11 is greater than 6)
II. $\frac{5}{9} < \frac{8}{9}$ ($\frac{5}{9}$ is smaller than $\frac{8}{9}$ as their denominator is equal and 5 is less than 8)
II. $\frac{5}{6} > \frac{4}{5}$ ($\frac{5}{6}=\frac{25}{30}$ and $\frac{4}{5}=\frac{24}{30}$)
Hence, the correct answer is III.

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