Question

Simplify:
$4\frac{4}{5}÷\frac{3}{5}\mathrm{of}5+\frac{4}{5}\times \frac{3}{10}-\frac{1}{5}$

Answer 1

Given expression:
$$\begin{gathered} =4\frac{4}{5}÷\frac{3}{5}\mathrm{of}5+\frac{4}{5}\times \frac{3}{10}-\frac{1}{5} \\ =4\frac{4}{5}÷\frac{3}{5}\times \frac{5}{1}+\frac{4}{5}\times \frac{3}{10}-\frac{1}{5}(\mathrm{Removing}\text{'}\mathrm{of}\text{'}) \\ =\frac{24}{5}÷\frac{3}{1}+\frac{4}{5}\times \frac{3}{10}-\frac{1}{5} \\ =\frac{24}{5}\times \frac{1}{3}+\frac{4}{5}\times \frac{3}{10}-\frac{1}{5}(\mathrm{Removing}\text{'}÷\text{'}) \\ =\frac{8}{5}+\frac{4}{5}\times \frac{3}{10}-\frac{1}{5}(\mathrm{Removing}\text{'}\times \text{'}) \\ =\frac{8}{5}+\frac{6}{25}-\frac{1}{5}(\mathrm{Removing}\text{'}\times \text{'}) \\ =\frac{40+6-5}{25}=\frac{41}{25}=1\frac{16}{25} \end{gathered}$$