`6/7 xx 5/14 + 6/7 : 1 5/9`
`= 6/7 xx 5/14 + 6/7 : 14/9`
`= 6/7 xx 5/14 + 6/7 xx 9/14`
`= 6/7 xx ( 5/14 + 9/14)`
`= 6/7 xx 14/14`
`= 6/7 xx 1 = 6/7`
\(\dfrac{6}{7}\times\dfrac{5}{14}+\dfrac{6}{7}:1\dfrac{5}{9}\)
\(=\dfrac{6}{7}\times\dfrac{5}{14}+\dfrac{6}{7}:\dfrac{14}{9}=\dfrac{6}{7}\times\dfrac{5}{14}+\dfrac{6}{7}\times\dfrac{9}{14}\)
\(=\dfrac{6}{7}\times\left(\dfrac{5}{14}+\dfrac{9}{14}\right)=\dfrac{6}{7}\times1=\dfrac{6}{7}\)