\(=\dfrac{4}{7}.\left(\dfrac{5}{6}+\dfrac{1}{6}\right)\\ =\dfrac{4}{7}.\dfrac{6}{6}\\ =\dfrac{4}{7}.1=\dfrac{4}{7}\)
\(\dfrac{4}{7}.\dfrac{5}{6}+\dfrac{4}{7}.\dfrac{1}{6}=\dfrac{4}{7}.\left(\dfrac{5}{6}+\dfrac{1}{6}\right)=\dfrac{4}{7}.1=\dfrac{4}{7}\)
`(4)/(7).(5)/(6)+(4)/(7).(1)/(6)`
`=(4)/(7).((5)/(6)+(1)/(6))`
`=(4)/(7).(6)/(6)`
`=(4)/(7).1=4/7`
\(\dfrac{4}{7}\cdot\dfrac{5}{6}+\dfrac{4}{7}\cdot\dfrac{1}{6}\)
\(=\dfrac{10}{21}+\dfrac{2}{21}\)
\(=\dfrac{4}{7}\)