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\frac{35}{30}-\frac{26}{30}
Least common multiple of 6 and 15 is 30. Convert \frac{7}{6} and \frac{13}{15} to fractions with denominator 30.
\frac{35-26}{30}
Since \frac{35}{30} and \frac{26}{30} have the same denominator, subtract them by subtracting their numerators.
\frac{9}{30}
Subtract 26 from 35 to get 9.
\frac{3}{10}
Reduce the fraction \frac{9}{30} to lowest terms by extracting and canceling out 3.