The difference of the greatest and the… - CUET UG 2024 General Test PYQ

CUET UG 2024 — General Test Quantitative Reasoning

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The difference of the greatest and the smallest of the fractions $\frac{1}{2}$ , $\frac{8}{11}$ , $\frac{7}{8}$ , $\frac{7}{9}$ , $\frac{5}{6}$ is:

Official previous-year question

Verified 13 Jul 2026.

Options

A
3/8
B
6/7
C
7/9
D
1/3

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Solution

To find the difference between the greatest and smallest fractions, we first identify the greatest and smallest fractions among $\frac{1}{2}$ , $\frac{8}{11}$ , $\frac{7}{8}$ , $\frac{7}{9}$ , and $\frac{5}{6}$ .

The fractions in decimal form are:
$\frac{1}{2} = 0.5$ ,
$\frac{8}{11} \approx 0.727$ ,
$\frac{7}{8} = 0.875$ ,
$\frac{7}{9} \approx 0.778$ ,
$\frac{5}{6} \approx 0.833$ .

The greatest fraction is $\frac{7}{8}$ and the smallest fraction is $\frac{1}{2}$ .

Now, we calculate the difference:
$ $\frac{7}{8} - \frac{1}{2} = \frac{7}{8} - \frac{4}{8} = \frac{3}{8}.$

Thus, the difference of the greatest and the smallest fractions is $\frac{3}{8}$ .

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