CUET UG 2024 — General Test Quantitative Reasoning

To find the difference between the greatest and smallest fractions, we first identify the greatest and smallest fractions among $\frac{1}{2}$21​, $\frac{8}{11}$118​, $\frac{7}{8}$87​, $\frac{7}{9}$97​, and $\frac{5}{6}$65​.

The fractions in decimal form are:
$\frac{1}{2} = 0.5$21​=0.5,
$\frac{8}{11} \approx 0.727$118​≈0.727,
$\frac{7}{8} = 0.875$87​=0.875,
$\frac{7}{9} \approx 0.778$97​≈0.778,
$\frac{5}{6} \approx 0.833$65​≈0.833.

The greatest fraction is $\frac{7}{8}$87​ and the smallest fraction is $\frac{1}{2}$21​.

Now, we calculate the difference:
$$\frac{7}{8} - \frac{1}{2} = \frac{7}{8} - \frac{4}{8} = \frac{3}{8}.$87​−21​=87​−84​=83​.

Thus, the difference of the greatest and the smallest fractions is $\frac{3}{8}$83​.