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  • 4.5: Розподіл 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%9E%D1%81%D0%BD%D0%BE%D0%B2%D0%B8_%D0%BC%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B8_(Burzynski_%D1%96_Ellis)/04%3A_%D0%92%D0%B2%D0%B5%D0%B4%D0%B5%D0%BD%D0%BD%D1%8F_%D0%B2_%D0%B4%D1%80%D0%BE%D0%B1%D0%B8_%D1%82%D0%B0_%D0%BC%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%B4%D1%80%D0%BE%D0%B1%D1%96%D0%B2/4.05%3A_%D0%A0%D0%BE%D0%B7%D0%BF%D0%BE%D0%B4%D1%96%D0%BB_%D0%B4%D1%80%D0%BE%D0%B1%D1%96%D0%B2
    \(\dfrac{\begin{array} {c} {^1} \\ {\cancel{7}} \end{array}}{\begin{array} {c} {\cancel{8}} \\ {^2} \end{array}} \cdot \dfrac{\begin{array} {c} {^{^1}} \\ {^{\cancel{5}}} \\ {\cancel{20}} \end{array}}...\(\dfrac{\begin{array} {c} {^1} \\ {\cancel{7}} \end{array}}{\begin{array} {c} {\cancel{8}} \\ {^2} \end{array}} \cdot \dfrac{\begin{array} {c} {^{^1}} \\ {^{\cancel{5}}} \\ {\cancel{20}} \end{array}}{\begin{array} {c} {\cancel{21}} \\ {^{\cancel{3}}} \\ {^{^1}} \end{array}} \dfrac{\begin{array} {c} {^1} \\ {\cancel{3}} \end{array}}{\begin{array} {c} {\cancel{35}} \\ {^7} \end{array}} = \dfrac{1 \cdot 1 \cdot 1}{2 \cdot 1 \cdot 7} = \dfrac{1}{14}\)
  • 4.4: Ділення 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%B8/4.04%3A_%D0%94%D1%96%D0%BB%D0%B5%D0%BD%D0%BD%D1%8F_%D0%B4%D1%80%D0%BE%D0%B1%D1%96%D0%B2
    \[ \begin{aligned} - \frac{6}{35} \div \frac{33}{55} = - \frac{6}{35} \cdot \frac{55}{33} ~ & \textcolor{red}{ \text{ Invert the divisor (second number).}} \\ = - \frac{6 \cdot 55}{35 \cdot 33} ~ & \t...\[ \begin{aligned} - \frac{6}{35} \div \frac{33}{55} = - \frac{6}{35} \cdot \frac{55}{33} ~ & \textcolor{red}{ \text{ Invert the divisor (second number).}} \\ = - \frac{6 \cdot 55}{35 \cdot 33} ~ & \textcolor{red}{ \text{ Multiply numerators; multiply denominators.}} \\ = - \frac{(2 \cdot 3) \cdot (5 \cdot 11)}{(5 \cdot 7) \cdot (3 \cdot 11)} ~ & \textcolor{red}{ \text{ Factor numerators and denominators.}} \\ = - \frac{2 \cdot \cancel{3} \cdot \cancel{5} \cdot \cancel{11}}{ \cancel{5} \cdot 7 …