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\frac{35}{45}+\frac{36}{45}
Least common multiple of 9 and 5 is 45. Convert \frac{7}{9} and \frac{4}{5} to fractions with denominator 45.
\frac{35+36}{45}
Since \frac{35}{45} and \frac{36}{45} have the same denominator, add them by adding their numerators.
\frac{71}{45}
Add 35 and 36 to get 71.