e/
` (-5)/9 + 11/36 - (-7)/18 `
` = (-5)/9 - (-7)/18 + 11/36 `
`= (-1)/6 + 11/36 `
`= -6/36 + 11/36 `
`= 5/36 `
f/
`(-2)/3 . 4/5 + 1/5 : 9/11 `
` = (-2)/3 . 4/5 + 1/5 . 11/9 `
` = ( (-2)/3 . 4/5 )+ (1/5 . 11/9 )`
`= -8/15 + 11/45 `
`= -13/45`
\(e,\dfrac{-5}{9}+\dfrac{11}{36}-\dfrac{-7}{18}=\dfrac{-5}{9}+\dfrac{11}{36}+\dfrac{7}{18}=\dfrac{-20}{36}+\dfrac{11}{36}+\dfrac{14}{36}=\dfrac{-20+11+14}{36}=\dfrac{5}{36}\\ f,\dfrac{-2}{3}\times\dfrac{4}{5}+\dfrac{1}{5}:\dfrac{9}{11}=\dfrac{-8}{15}+\dfrac{1}{5}:\dfrac{9}{11}=\dfrac{-8}{15}+\dfrac{1}{5}\times\dfrac{11}{9}=\dfrac{-8}{15}+\dfrac{11}{45}=\dfrac{-24}{45}+\dfrac{11}{45}=\dfrac{-13}{45}\)
e)\(\dfrac{-5}{9}+\dfrac{11}{36}-\dfrac{-7}{18}\)
=\(\dfrac{-5.4}{9.4}+\dfrac{11}{36}-\dfrac{-7.2}{18.2}\)
=\(\dfrac{-20}{36}+\dfrac{11}{36}-\dfrac{-14}{36}\)
=\(\dfrac{-20+11-\left(-14\right)}{36}\)
=\(\dfrac{5}{36}\)
f)\(\dfrac{-2}{3}\cdot\dfrac{4}{5}+\dfrac{1}{5}:\dfrac{9}{11}\)
=\(\left(\dfrac{-2}{3}\cdot\dfrac{4}{5}\right)+\left(\dfrac{1}{5}:\dfrac{9}{11}\right)\)
=\(\left(\dfrac{-2.4}{3.5}\right)+\left(\dfrac{1}{5}\cdot\dfrac{11}{9}\right)\)
=\(\dfrac{-8}{15}+\left(\dfrac{1.11}{5.9}\right)\)
=\(\dfrac{-8}{15}+\dfrac{11}{45}\)
=\(\dfrac{-8.3}{15.3}+\dfrac{11}{45}\)
=\(\dfrac{-24}{45}+\dfrac{11}{45}\)
=\(\dfrac{-24+11}{45}\)
=\(-\dfrac{13}{45}\)
