Question

\(\dfrac{5}{9}\):\((\dfrac{1}{11}-\dfrac{5}{22})+\dfrac{5}{9}:(\dfrac{1}{15}-\dfrac{2}{3})\)

Answer 1

\(=\dfrac{5}{9}:\dfrac{-3}{22}+\dfrac{5}{9}:\dfrac{-9}{15}\)

\(=\dfrac{5}{9}:\left(\dfrac{-3}{22}+\dfrac{-9}{15}\right)\)

\(=\dfrac{5}{9}:\dfrac{-81}{110}=-\dfrac{550}{729}\)

Answer 2

`5 / 9 : ( 1 / 11 - 5 / 22 ) + 5 / 9 : ( 1 / 15 - 2 / 3 )`

`= 5 / 9 : ( 2 / 22 - 5 / 22 ) + 5 / 9 : ( 1 / 15 - 10 / 15 )`

`= 5 / 9 : [-3] / 22 + 5 / 9 : [-3] / 5`

`= 5 / 9 . [-22] / 3 + 5 / 9 . [-5] / 3`

`= 5 / 9 ( [-22] / 3 + [-5] / 3 )`

`= 5 / 9 . [-27 ] / 3`

`= 5 / 9 . (-9)`

`=-5`