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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:
[tex]4\frac{4}{9}+8\frac{7}{9}[/tex]We rewrite it as
[tex]4+\frac{4}{9}+8+\frac{7}{9}[/tex]Adding the fractions, we have:
[tex]12+\frac{11}{9}=\frac{119}{9}[/tex]And we have to write the answer in mixed fraction form, therefore we perform
[tex]\frac{119}{9}=\frac{117+2}{9}=13\frac{2}{9}[/tex]This is the answer we're looking for.