Question

0,2 :$\frac{1}{4}$ +$\frac{2}{5}$ x 1,5 + $5^{-1} }$

Answer 1

   
$\displaystyle 0,2: \frac{1}{4}+ \frac{2}{5}\cdot 1,5+5^{-1} = \\ \\ = \frac{2}{10}: \frac{1}{4}+ \frac{2}{5}\cdot \frac{15}{10}+\frac{1}{5}= \\ \\ = \frac{1}{5}: \frac{1}{4}+ \frac{2}{5}\cdot \frac{3}{2}+\frac{1}{5}= \\ \\ = \frac{1}{5}\cdot \frac{4}{1}+ \frac{2}{5}\cdot \frac{3}{2}+\frac{1}{5}= \\ \\ = \frac{1\cdot 4}{5\cdot1}+ \frac{2\cdot3}{5\cdot2}+\frac{1}{5}= \\ \\ = \frac{4}{5}+ \frac{3}{5}+\frac{1}{5}=\frac{4+3+1}{5}=\boxed{\frac{8}{5}}$

Answer 2

$= \frac{2}{10} : \frac{1}{4} + \frac{2}{5} \frac{15}{10} + \frac{1}{5} = \frac{1}{5} : \frac{1}{4} + \frac{2}{5} \frac{3}{2} + \frac{1}{5} = \frac{1}{5} \frac{4}{1} + \frac{6}{10} + \frac{1}{5} = \frac{4}{5} + \frac{3}{5} + \frac{1}{5} = \frac{8}{5}$