Search

4.6: Множення та ділення змішаних дробів
https://ukrayinska.libretexts.org/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0/%D0%94%D0%BE_%D0%B0%D0%BB%D0%B3%D0%B5%D0%B1%D1%80%D0%B8/%D0%9A%D0%BD%D0%B8%D0%B3%D0%B0%3A_%D0%9F%D1%80%D0%B5%D0%B0%D0%BB%D0%B3%D0%B5%D0%B1%D1%80%D0%B0_(Arnold)/04%3A_%D0%94%D1%80%D0%BE%D0%B1%D0%B8/4.06%3A_%D0%9C%D0%BD%D0%BE%D0%B6%D0%B5%D0%BD%D0%BD%D1%8F_%D1%82%D0%B0_%D0%B4%D1%96%D0%BB%D0%B5%D0%BD%D0%BD%D1%8F_%D0%B7%D0%BC%D1%96%D1%88%D0%B0%D0%BD%D0%B8%D1%85_%D0%B4%D1%80%D0%BE%D0%B1%D1%96%D0%B2
\[ \begin{aligned} -2 \frac{1}{12} \cdot 2 \frac{4}{5} = - \frac{25}{12} \cdot \frac{14}{5} ~ & \textcolor{red}{ \text{ Change to improper fractions.}} \\ = - \frac{25 \cdot 14}{12 \cdot 5} ~ & \textc...\[ \begin{aligned} -2 \frac{1}{12} \cdot 2 \frac{4}{5} = - \frac{25}{12} \cdot \frac{14}{5} ~ & \textcolor{red}{ \text{ Change to improper fractions.}} \\ = - \frac{25 \cdot 14}{12 \cdot 5} ~ & \textcolor{red}{ \begin{aligned} \text{ Multiply numerators; multiply denominators.} \\ \text{ Unlike signs; product is negative.} \end{aligned}} \\ = - \frac{(5 \cdot 5) \cdot (2 \cdot 7)}{2 \cdot 2 \cdot 3) \cdot (5)} ~ & \textcolor{red}{ \text{ Prime factor.}} \\ = - \frac{ \cancel{5} \cdot 5 \cdot \c…