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\frac{117+1}{9}-\frac{4\times 9+3}{9}
Multiply 13 and 9 to get 117.
\frac{118}{9}-\frac{4\times 9+3}{9}
Add 117 and 1 to get 118.
\frac{118}{9}-\frac{36+3}{9}
Multiply 4 and 9 to get 36.
\frac{118}{9}-\frac{39}{9}
Add 36 and 3 to get 39.
\frac{118-39}{9}
Since \frac{118}{9} and \frac{39}{9} have the same denominator, subtract them by subtracting their numerators.
\frac{79}{9}
Subtract 39 from 118 to get 79.