\(=\dfrac{117}{18}\left(\dfrac{1}{6}+\dfrac{1}{3}+\dfrac{1}{2}\right)=\dfrac{117}{18}\)
\(\dfrac{117}{118}\times\dfrac{1}{6}+\dfrac{117}{118}\times\dfrac{1}{3}+\dfrac{117}{236}\)
\(=\dfrac{117}{118}\times\dfrac{1}{6}+\dfrac{117}{118}\times\dfrac{1}{3}+\dfrac{117}{118}\times\dfrac{1}{2}\)
\(=\dfrac{117}{118}\left(\dfrac{1}{6}+\dfrac{1}{3}+\dfrac{1}{2}\right)\)
\(=\dfrac{117}{118}\times1=\dfrac{117}{118}\)