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\frac{35}{75}-\frac{9}{75}
Least common multiple of 15 and 25 is 75. Convert \frac{7}{15} and \frac{3}{25} to fractions with denominator 75.
\frac{35-9}{75}
Since \frac{35}{75} and \frac{9}{75} have the same denominator, subtract them by subtracting their numerators.
\frac{26}{75}
Subtract 9 from 35 to get 26.