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\left(\frac{21}{45}+\frac{25}{45}\right)\times 45
Least common multiple of 15 and 9 is 45. Convert \frac{7}{15} and \frac{5}{9} to fractions with denominator 45.
\frac{21+25}{45}\times 45
Since \frac{21}{45} and \frac{25}{45} have the same denominator, add them by adding their numerators.
\frac{46}{45}\times 45
Add 21 and 25 to get 46.
46
Cancel out 45 and 45.