`5/9 xx 8/17 + 4/9 xx 8/17`
` = 8/17 xx ( 5/9 + 4/9)`
`= 8/17 xx 9/9`
` = 8/17 xx 1`
` = 8/17`
\(\dfrac{5}{9}\times\dfrac{8}{17}+\dfrac{4}{9}\times\dfrac{8}{17}=\dfrac{8}{17}\times\left(\dfrac{5}{9}+\dfrac{4}{9}\right)=\dfrac{8}{17}\times\left(\dfrac{5+4}{9}\right)=\dfrac{8}{17}\times\dfrac{9}{9}=\dfrac{8}{17}\times1=\dfrac{8}{17}.\)
\(\dfrac{5}{9}\times\dfrac{8}{17}+\dfrac{4}{9}\times\dfrac{8}{17}=\left(\dfrac{5}{9}+\dfrac{4}{9}\right)\times\dfrac{8}{17}=1\times\dfrac{8}{17}=\dfrac{8}{17}\)