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  • 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%B8/4.05%3A_%D0%94%D0%BE%D0%B4%D0%B0%D0%B2%D0%B0%D0%BD%D0%BD%D1%8F_%D1%82%D0%B0_%D0%B2%D1%96%D0%B4%D0%BD%D1%96%D0%BC%D0%B0%D0%BD%D0%BD%D1%8F_%D0%B4%D1%80%D0%BE%D0%B1%D1%96%D0%B2
    \[ \begin{aligned} -\frac{1}{4} - \frac{5}{6} &= - \frac{1 \cdot \textcolor{red}{3}}{4 \cdot \textcolor{red}{3}} - \frac{5 \cdot \textcolor{red}{2}}{6 \cdot \textcolor{red}{2}} ~ & \textcolor{red}{ \t...\[ \begin{aligned} -\frac{1}{4} - \frac{5}{6} &= - \frac{1 \cdot \textcolor{red}{3}}{4 \cdot \textcolor{red}{3}} - \frac{5 \cdot \textcolor{red}{2}}{6 \cdot \textcolor{red}{2}} ~ & \textcolor{red}{ \text{ Equivalent fractions with LCD =12.}} \\ &= - \frac{3}{12} - \frac{10}{12} ~ & \textcolor{red}{ \text{ Simplify numerators and denominators.}} \\ &= \frac{-3-10}{12} ~ & \textcolor{red}{ \text{ Keep LCD; subtract numerators.}} \\ &= \frac{-13}{12} ~ & \textcolor{red}{ \text{ Simplify numerator.…