CUET CUET General Test 2024 - The difference of the greatest and the smallest of the fractions 1/2, 8/11, 7/8, 7/9, 5/6 is: | PYQs + Solutions

CUET General Test 2024

Arithmetic

Ratio, Proportion & Variation

Easy

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:

3/8

6/7

7/9

1/3

Correct Option: 1

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:

\newline

\frac{1}{2} = 0.5

\newline

\frac{8}{11} \approx 0.727

\newline

\frac{7}{8} = 0.875

\newline

\frac{7}{9} \approx 0.778

\newline

\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:

\newline

\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}