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\frac{6+4}{6}+9
Multiply 1 and 6 to get 6.
\frac{10}{6}+9
Add 6 and 4 to get 10.
\frac{5}{3}+9
Reduce the fraction \frac{10}{6} to lowest terms by extracting and canceling out 2.
\frac{5}{3}+\frac{27}{3}
Convert 9 to fraction \frac{27}{3}.
\frac{5+27}{3}
Since \frac{5}{3} and \frac{27}{3} have the same denominator, add them by adding their numerators.
\frac{32}{3}
Add 5 and 27 to get 32.