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\frac{50}{45}-\frac{21}{45}
Least common multiple of 9 and 15 is 45. Convert \frac{10}{9} and \frac{7}{15} to fractions with denominator 45.
\frac{50-21}{45}
Since \frac{50}{45} and \frac{21}{45} have the same denominator, subtract them by subtracting their numerators.
\frac{29}{45}
Subtract 21 from 50 to get 29.