$\newcommand\tg{\operatorname{tg}} \newcommand\cotg{\operatorname{cotg}} \newcommand{\uhel}{{<}\kern-0.5em)\,} \newcommand\abs[1]{\left| #1 \right|} \newcommand\zav[1]{\left( #1 \right)} \newcommand\zavhra[1]{\left[ #1 \right]} \newcommand\zavslo[1]{\left\{ #1 \right\}} \newcommand\zavlom[1]{\left< #1 \, \right>} \newcommand{\podtrzeni}[1]{\underline{ #1 }} \newcommand{\vysledek}[1]{\underline{\underline{#1}}} \newcommand{\priume}[4]{ \Bigg\uparrow \underline{ \begin{array}{rp{2.3cm}r} #1 & \dots\dots\dots\dots\dots & #2 \\ #3 & \dots\dots\dots\dots\dots & #4 \end{array}} \Bigg\uparrow} \newcommand{\nepriume}[4]{ \Bigg\downarrow \underline{ \begin{array}{rp{2.3cm}r} #1 & \dots\dots\dots\dots\dots & #2 \\ #3 & \dots\dots\dots\dots\dots & #4 \end{array}} \Bigg\uparrow} \newcommand{\nepriumevpravo}[4]{ \Bigg\uparrow \underline{ \begin{array}{rp{2.3cm}r} #1 & \dots\dots\dots\dots\dots & #2 \\ #3 & \dots\dots\dots\dots\dots & #4 \end{array}} \Bigg\downarrow}$ $\textbf{Běloun 1.4 d) / str. 8 }\text{ (bonus - v Bělounovi tento příklad není)}$
Štítky: výpočty

$\textbf{Vypočítejte}$
$$\dfrac{1}{3}-\dfrac{5}{8}\cdot\dfrac{1}{4}-\dfrac{5}{6}$$
$\textbf{Řešení}$ $$\begin{align*} &\dfrac{1}{3}-\dfrac{5}{8}\cdot\dfrac{1}{4}-\dfrac{5}{6} = \\ =\ &\dfrac{1}{3}-\dfrac{5}{32}-\dfrac{5}{6} = \\ =\ &\dfrac{1\cdot 32 - 5\cdot 3 - 5 \cdot 16}{96} = \\ =\ &\dfrac{32-15-80}{96} = \\ =\ &-\dfrac{63}{96} = \qquad / \, \text{zkrátíme třemi} \\ =\ &\ \vysledek{-\dfrac{21}{32}} = \\ \end{align*}$$ $\textbf{Výsledek}$ $$\vysledek{-\dfrac{21}{32}}$$
$\textbf{Konec příkladu}$