What is the difference between the largest and the smallest fractions among$$\frac{2}{3}$$, $$\frac{3}{4}$$,$$\frac{4}{5}$$and$$\frac{5}{6}$$?

Given fraction,

$$\frac{2}{3}$$, $$\frac{3}{4}$$, $$\frac{4}{5}$$ and $$\frac{5}{6}$$

values of fraction,

$$\frac{2}{3}$$ = 0.666

$$\frac{3}{4}$$ = 0.75

$$\frac{4}{5}$$ = 0.8

$$\frac{5}{6}$$ = 0.803

so the smallest fraction is $$\frac{2}{3}$$ and largest fraction is $$\frac{5}{6}$$

Difference between the largest and the smallest fractions = $$\frac{5}{6} - \frac{2}{3}$$

= $$\frac{5 - 4}{6}$$

=$$\frac{1}{6}$$

therefore, Option C is the answer.