d: \(=\dfrac{100}{123}:\dfrac{9+7}{12}+\dfrac{23}{123}:\dfrac{27-7}{15}\)
\(=\dfrac{100}{123}\cdot\dfrac{12}{16}+\dfrac{23}{123}\cdot\dfrac{15}{20}\)
\(=\dfrac{3}{4}\left(\dfrac{100}{123}+\dfrac{23}{123}\right)=\dfrac{3}{4}\)
c: \(=\dfrac{53}{4}\cdot\dfrac{-7}{4}-\dfrac{69}{4}\cdot\dfrac{-7}{4}\)
\(=\dfrac{-7}{4}\left(\dfrac{53}{4}-\dfrac{69}{4}\right)=\dfrac{-7}{4}\cdot\left(-4\right)=7\)
