\(0,5\div\left(20\%+\frac{\frac{2}{3}}{5}\right)\)
\(=\frac{5}{10}\div\left(\frac{20}{100}+\frac{2}{3}\div5\right)\)
\(=\frac{5}{10}\div\left(\frac{20}{100}+\frac{2}{15}\right)\)
\(=\frac{5}{10}\div\left(\frac{300}{1500}+\frac{200}{1500}\right)\)
\(=\frac{5}{10}\div\frac{500}{1500}\)
\(=\frac{5}{10}\times\frac{1500}{500}\)
\(=\frac{7500}{5000}\)
\(=\frac{3}{2}\)
\(=1,5\)