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\frac{70}{45}+\frac{81}{45}
Least common multiple of 9 and 5 is 45. Convert \frac{14}{9} and \frac{9}{5} to fractions with denominator 45.
\frac{70+81}{45}
Since \frac{70}{45} and \frac{81}{45} have the same denominator, add them by adding their numerators.
\frac{151}{45}
Add 70 and 81 to get 151.