Hello there. To solve this question, we'll have to remember some properties about mixed numbers.
Given the mixed number a b/c, we can write it as and it is the same as
Therefore in the expression:
![4(4)/(9)+8(7)/(9)](https://img.qammunity.org/2023/formulas/mathematics/college/j4k9eisulkznrq75ti0yhvg9cwz60hwc3z.png)
We rewrite it as
![4+(4)/(9)+8+(7)/(9)](https://img.qammunity.org/2023/formulas/mathematics/college/rmfliqi173vs5xlngq91bbhxni2qx33nxg.png)
Adding the fractions, we have:
![12+(11)/(9)=(119)/(9)](https://img.qammunity.org/2023/formulas/mathematics/college/cnkql94evb0mgxhjoqvj09phhmqhtjhshm.png)
And we have to write the answer in mixed fraction form, therefore we perform
![(119)/(9)=(117+2)/(9)=13(2)/(9)](https://img.qammunity.org/2023/formulas/mathematics/college/99c0odo2qof67sww2viu3ab9h715pmfnrr.png)
This is the answer we're looking for.