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6+\frac{16\times 2}{9}-36\times \frac{2}{9}
Express 16\times \frac{2}{9} as a single fraction.
6+\frac{32}{9}-36\times \frac{2}{9}
Multiply 16 and 2 to get 32.
\frac{54}{9}+\frac{32}{9}-36\times \frac{2}{9}
Convert 6 to fraction \frac{54}{9}.
\frac{54+32}{9}-36\times \frac{2}{9}
Since \frac{54}{9} and \frac{32}{9} have the same denominator, add them by adding their numerators.
\frac{86}{9}-36\times \frac{2}{9}
Add 54 and 32 to get 86.
\frac{86}{9}-\frac{36\times 2}{9}
Express 36\times \frac{2}{9} as a single fraction.
\frac{86}{9}-\frac{72}{9}
Multiply 36 and 2 to get 72.
\frac{86-72}{9}
Since \frac{86}{9} and \frac{72}{9} have the same denominator, subtract them by subtracting their numerators.
\frac{14}{9}
Subtract 72 from 86 to get 14.