Question

Simplify:
$5\frac{1}{7}-\left\{3\frac{3}{10}÷\left(2\frac{4}{5}-\frac{7}{10}\right)\right\}$

Answer 1

Given expression:
$$\begin{gathered} =5\frac{1}{7}-\left\{3\frac{3}{10}÷\left(2\frac{4}{5}-\frac{7}{10}\right)\right\} \\ =\frac{36}{7}-\left\{\frac{33}{10}÷\left(\frac{14}{5}-\frac{7}{10}\right)\right\} \\ =\frac{36}{7}-\left\{\frac{33}{10}÷\left(\frac{28-7}{10}\right)\right\} \\ =\frac{36}{7}-\left\{\frac{33}{10}÷\frac{21}{10}\right\}\left(\mathrm{Removing}\mathrm{parentheses}\right) \\ =\frac{36}{7}-\left\{\frac{33}{10}\times \frac{10}{21}\right\}\left(\mathrm{Removing}\text{'}÷\text{'}\right) \\ =\frac{36}{7}-\frac{11}{7}\left(\mathrm{Removing}\mathrm{braces}\right) \\ =\frac{36-11}{7}=\frac{25}{7}=3\frac{4}{7}\left(\mathrm{Simplifying}\right) \end{gathered}$$