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\frac{6}{45}+\frac{10}{45}
Least common multiple of 15 and 9 is 45. Convert \frac{2}{15} and \frac{2}{9} to fractions with denominator 45.
\frac{6+10}{45}
Since \frac{6}{45} and \frac{10}{45} have the same denominator, add them by adding their numerators.
\frac{16}{45}
Add 6 and 10 to get 16.