Question

Answer 1

`16/9xx3/17+8/9:17/15-8/9xx4/17`

`=16/9xx3/17+8/9xx15/17-8/9xx4/17`

`=8/9xx6/17+8/9xx15/17-8/9xx4/17`

`=8/9xx(6/17+15/17-4/17)`

`=8/9xx17/17=8/9`

Answer 2

\(=\dfrac{16}{9}\times\dfrac{3}{17}+\dfrac{8}{9}\times\left(\dfrac{15}{17}-\dfrac{4}{17}\right)\\ =\dfrac{16}{9}\times\dfrac{3}{17}+\dfrac{8}{9}\times\dfrac{16}{17}\\ =\dfrac{16}{17}\times\dfrac{3}{9}+\dfrac{8}{9}\times\dfrac{16}{17}\\ =\dfrac{16}{17}\times\left(\dfrac{3}{9}+\dfrac{8}{9}\right)\\ =\dfrac{16}{17}\times\dfrac{11}{9}=\dfrac{176}{153}\)

Answer 3

` 16/9 xx 3/17 + 8/9 : 17/15 - 8/9 xx 4/17`

` =16/9 xx 3/17 + 8/9 xx 15/17 - 8/9 xx 4/17`

` = 8/9 xx 6/17 + 8/9 xx 15/17 - 8/9 xx 4/17`

` = 8/9 xx  ( 15/17 + 6/17 - 4/17)`

` = 8/9 xx 17/17`

` = 8/9 xx 1`

` = 8/9`