Oblicz 35% wartości wyrażenia:
| 2/3 ∙ (1/√4 - 3 2/3 ∙ 1,5) : √4/25 |



Odpowiedź :

Hanka

[tex]|\frac{2}{3}\cdot (\frac{1}{\sqrt4} - 3\frac{2}{3}\cdot1,5) : \sqrt{\frac{4}{25}} |=|\frac{2}{3}\cdot (\frac{1}{2} - \frac{11}{3}\cdot\frac{3}{2}) : \frac{2}{5}} |=\\\\|\frac{2}{3}\cdot (\frac{1}{2} - \frac{11}{2}) \cdot \frac{5}{2}} |=|\frac{2}{3}\cdot ( - \frac{10}{2}) \cdot \frac{5}{2}} |=\\\\|\frac{2}{3}\cdot ( - 5) \cdot \frac{5}{2}} |=|- \frac{25}{3} |=\frac{25}{3}\\\\\\0,35\cdot\frac{25}{3}=\frac{35}{100}\cdot\frac{25}{3}=\frac{35}{4}\cdot\frac{1}{3}=\frac{35}{12}=2\frac{11}{12}[/tex]