Answer
$\frac{46}{45}$
Work Step by Step
$\frac{4}{5}+\frac{2}{9}=(\frac{4}{5}\times\frac{9}{9})+(\frac{2}{9}\times\frac{5}{5})=\frac{36}{45}+\frac{10}{45}=\frac{36+10}{45}=\frac{46}{45}$
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