\(\left(\dfrac{6}{7}+\dfrac{3}{14}\right):\dfrac{3}{7}\times\dfrac{1}{70}\)
\(=\left(\dfrac{12}{14}+\dfrac{3}{14}\right):\dfrac{3}{7}\times\dfrac{1}{70}\)
\(=\dfrac{15}{14}:\dfrac{3}{7}\times\dfrac{1}{70}\)
\(=\dfrac{15}{14}\times\dfrac{7}{3}\times\dfrac{1}{70}\)
\(=\dfrac{15\times7\times1}{14\times3\times70}\)
\(=\dfrac{105}{2940}=\dfrac{1}{28}\)
\(\left(\dfrac{6}{7}+\dfrac{3}{14}\right):\dfrac{3}{7}\times\dfrac{1}{70}\)
\(=\left(\dfrac{12}{14}+\dfrac{3}{14}\right)\times\dfrac{7}{3}\times\dfrac{1}{70}\)
\(=\dfrac{15}{14}\times\dfrac{1}{30}\)
\(=\dfrac{1}{28}\)