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\frac{72+9}{12}+\frac{2\times 4+3}{4}
Multiply 6 and 12 to get 72.
\frac{81}{12}+\frac{2\times 4+3}{4}
Add 72 and 9 to get 81.
\frac{27}{4}+\frac{2\times 4+3}{4}
Reduce the fraction \frac{81}{12} to lowest terms by extracting and canceling out 3.
\frac{27}{4}+\frac{8+3}{4}
Multiply 2 and 4 to get 8.
\frac{27}{4}+\frac{11}{4}
Add 8 and 3 to get 11.
\frac{27+11}{4}
Since \frac{27}{4} and \frac{11}{4} have the same denominator, add them by adding their numerators.
\frac{38}{4}
Add 27 and 11 to get 38.
\frac{19}{2}
Reduce the fraction \frac{38}{4} to lowest terms by extracting and canceling out 2.