4/5 + 8/9. First we have to find a common denominator for [tex] \frac{4}{5}[/tex] and [tex] \frac{8}{9}[/tex].
[tex] \\ \frac{4*9}{5*9}= \frac{36}{45} \ and \ \frac{8*5}{9*5}= \frac{40}{45} \\ [/tex]
Now we are going to add:[tex] \frac{36}{45}+ \frac{40}{45}= \frac{76}{45} [/tex]
Make [tex] \frac{76}{45}[/tex] a mixed number:[tex] \frac{76}{45}=1 \frac{31}{45}[/tex] So the answer is [tex]\boxed{1 \frac{31}{45}}[/tex]