`(1)/(2)+(3)/(4)xx(-2)/(18)+(-3)/(7):(9)/(-14)`
`=(1)/(2)+(3)/(4)xx(-1)/(9)+(-3)/(7)xx(-14)/(9)`
`=(1)/(2)+(3xx(-1))/(4xx3xx3)+(3xx7xx2)/(7xx3xx3)`
`=(1)/(2)-(1)/(4xx3)+(2)/(3)`
`=(1)/(2)-(1)/(12)+(2)/(3)`
`=(6)/(12)-(1)/(12)+(8)/(12)`
`=(6-1+8)/(12)=13/12`
\(=\dfrac{1}{2}+\dfrac{-1}{12}+\dfrac{-3}{7}\cdot\dfrac{-14}{9}=\dfrac{5}{12}+\dfrac{2}{3}=\dfrac{13}{12}\)