Question

спростіть вираз (1/2+2х/5)÷5+4х/20

Answer 1

$( \frac{1}{2} + \frac{2x}{5} ) \div 5 + \frac{4x}{20} = \frac{x}{10} + \frac{1}{50 \\}$

Answer 2

$\displaystyle\bf\\\Big(\frac{1}{2} +\frac{2x}{5} \Big):5+\frac{4x}{20} =\frac{1\cdot 5+2x\cdot 2}{10} :5+\frac{4x}{20} =\\\\\\=\frac{5+4x}{10} \cdot\frac{1}{5} +\frac{x}{5} =\frac{5+4x}{50} +\frac{x}{5} =\frac{5+4x+10x}{50} =\frac{5+14x}{50}$