Which of the following statement is true?

I. \(\frac{5}{11}>\frac{5}{6}\)

II. \(\frac{5}{9}>\frac{8}{9}\)

III. \(\frac{5}{6}>\frac{4}{5}\)

Question

Question

This question was previously asked in

SSC CHSL Tier-I Exam 2022 Official Paper (Held On: 21 March, 2023 Shift 4)

Answer 1

Given:

I. 5/11 > 5/6

II. 5/9 > 8/9

III. 5/6 > 4/5

Concept:

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.

Calculation:

I. 5/11 < 5/6 (5/11 is smaller than 5/6 as their numerators are equal and 11 is greater than 6)

II. 5/9 < 8/9 (5/9 is smaller than 8/9 as their denominators are equal and 5 is less than 8)

III. 5/6 > 4/5 (5/6 is greater than 4/5 as 55 > 64)

Therefore, the only true statement is III. 5/6 > 4/5.