Question

Simplify:

\[5\frac{1}{7} - \left\{ 3\frac{3}{10} \div \left( 2\frac{4}{5} - \frac{7}{10} \right) \right\}\]

Answer 1

The given expression

\[= 5\frac{1}{7} - \left\{ 3\frac{3}{10} \div \left( 2\frac{4}{5} - \frac{7}{10} \right) \right\}\]
\[ = \frac{36}{7} - \left\{ \frac{33}{10} \div \left( \frac{14}{5} - \frac{7}{10} \right) \right\}\]
\[ = \frac{36}{7} - \left\{ \frac{33}{10} \div \left( \frac{28 - 7}{10} \right) \right\} \]
\[ = \frac{36}{7} - \left\{ \frac{33}{10} \div \frac{21}{10} \right\} \left(\text{ Removing parentheses }\right)\]
\[ = \frac{36}{7} - \left\{ \frac{33}{10} \times \frac{10}{21} \right\} \left(\text{ Removing }' \div ' \right)\]
\[ = \frac{36}{7} - \frac{11}{7} \left(\text{Removing braces }\right)\]
\[ = \frac{36 - 11}{7} = \frac{25}{7} = 3\frac{4}{7} (\text{Simplifying})\]