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:

$\frac{3}{8}$

The correct answer is Option (1) → $\frac{3}{8}$

\(\frac{1}{2}\) = 0.5

\(\frac{8}{11}\) =0.72

\(\frac{7}{8}\) = 0.875

\(\frac{7}{9}\) = 0.77

\(\frac{5}{6}\) = 0.83

We can clearly see that the greatest fraction is \(\frac{7}{8}\) and the smallest fraction is \(\frac{1}{2}\) = 0.5

So the difference = \(\frac{7}{8}\) - \(\frac{1}{2}\) = $\frac{3}{8}$