Question

a) A= \(\dfrac{2}{13}\).\(\dfrac{5}{9}\)+\(\dfrac{2}{13}\).\(\dfrac{4}{9}\)+\(\dfrac{11}{13}\)

Answer 1

`2/13 . 5/9+ 2/13 . 4/9 +11/13`

`= 2/13 . ( 5/9 + 4/9)+11/13`

`= 2/13 . 9/9 +11/13`

`= 2/13 . 1 + 11/13`

`= 2/13 +11/13`

`=13/13`

`=1`

`@ yl`

Answer 2

`2/13*5/9+2/13*4/9+11/13`

`=2/13*(5/9+4/9)+11/13`

`=2/13*9/9+11/13`

`=2/13*1+11/13`

`=2/13+11/13`

`=13/13=1`

Answer 3

\(A=\dfrac{2}{13}\times\dfrac{5}{9}+\dfrac{2}{13}\times\dfrac{4}{9}+\dfrac{11}{13}\\ A=\dfrac{2}{13}\times\left(\dfrac{5}{9}+\dfrac{4}{9}\right)+\dfrac{11}{13}\\ A=\dfrac{2}{13}\times1+\dfrac{11}{13}\\ A=\dfrac{2}{13}+\dfrac{11}{13}\\ A=1\)