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\frac{30+3}{6}+\frac{9\times 4+2}{4}
Multiply 5 and 6 to get 30.
\frac{33}{6}+\frac{9\times 4+2}{4}
Add 30 and 3 to get 33.
\frac{11}{2}+\frac{9\times 4+2}{4}
Reduce the fraction \frac{33}{6} to lowest terms by extracting and canceling out 3.
\frac{11}{2}+\frac{36+2}{4}
Multiply 9 and 4 to get 36.
\frac{11}{2}+\frac{38}{4}
Add 36 and 2 to get 38.
\frac{11}{2}+\frac{19}{2}
Reduce the fraction \frac{38}{4} to lowest terms by extracting and canceling out 2.
\frac{11+19}{2}
Since \frac{11}{2} and \frac{19}{2} have the same denominator, add them by adding their numerators.
\frac{30}{2}
Add 11 and 19 to get 30.
15
Divide 30 by 2 to get 15.