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\frac{5\times 5}{17}+6\times 5\times \frac{2}{17}
Express 5\times \frac{5}{17} as a single fraction.
\frac{25}{17}+6\times 5\times \frac{2}{17}
Multiply 5 and 5 to get 25.
\frac{25}{17}+30\times \frac{2}{17}
Multiply 6 and 5 to get 30.
\frac{25}{17}+\frac{30\times 2}{17}
Express 30\times \frac{2}{17} as a single fraction.
\frac{25}{17}+\frac{60}{17}
Multiply 30 and 2 to get 60.
\frac{25+60}{17}
Since \frac{25}{17} and \frac{60}{17} have the same denominator, add them by adding their numerators.
\frac{85}{17}
Add 25 and 60 to get 85.
5
Divide 85 by 17 to get 5.