` 5/9 . ( -2/13)+5/9.(-7/13)+(-8/13) = 5/9(-2/13-7/13)-8/13=5/9.(-9/13)-8/13=-5/13-8/13=-13/13=-1 `
\(\dfrac{5}{9}\times\dfrac{-2}{13}+\dfrac{5}{9}\times\dfrac{-7}{13}+\dfrac{-8}{13}\)
\(=\dfrac{5}{9}\times\left(\dfrac{-2}{13}+\dfrac{-7}{13}+\dfrac{-8}{13}\right)\)
\(=\dfrac{5}{9}\times\dfrac{-17}{13}\)
\(=\dfrac{-85}{117}\)