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\frac{20}{45}+\frac{72}{45}
Least common multiple of 9 and 5 is 45. Convert \frac{4}{9} and \frac{8}{5} to fractions with denominator 45.
\frac{20+72}{45}
Since \frac{20}{45} and \frac{72}{45} have the same denominator, add them by adding their numerators.
\frac{92}{45}
Add 20 and 72 to get 92.