Question

2/5÷{1/5 of (3/5-1/2)-1}​

Answer 1

Step-by-step explanation:

$\frac{2}{5} \div{( \frac{1}{5}) \times ( \frac{3}{5} } - \frac{1}{2} ) - 1 \\ = \frac{2}{5} \div \frac{1}{5} \times ( \frac{6 - 5}{10} ) - 1 \\ = \frac{2}{5} \div \frac{1}{5} \times ( \frac{1}{10} ) - 1 \\ = \frac{2}{5} \div \frac{1}{5} \times \frac{1 - 10}{10} \\ = \frac{2}{5} \div \frac{1}{5} \times \frac{ - 9}{10} \\ \frac{2}{5} \div \frac{ - 9}{50} \\ = \frac{2}{{\cancel{5}}} \times \frac{{\cancel{50}}}{ - 9 } \\ = 2 \times \frac{10}{ - 9} \\ = \frac{20}{ - 9}$

Hence your answer is

${\boxed{\frac {20}{-9}}}$