Question

Simplify: $\frac{4}{5}\times \frac{2}{3}\times 2\frac{2}{11}$.

Answer 1

First, we need to convert the mixed fraction to an improper fraction.

$\frac{4}{5}\times \frac{2}{3}\times 2\frac{2}{11}=\frac{4}{5}\times \frac{2}{3}\times \frac{24}{11}$

Now cancel the common factors.

$\frac{4}{5}\times \frac{2}{\sout{3}}\times \frac{{\sout{24}}^8}{11}=\frac{64}{55}=1\frac{9}{55}$

Hence, the final answer is $1\frac{9}{55}$.