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\frac{22\times 5}{2\times 5+1}
Divide 22 by \frac{2\times 5+1}{5} by multiplying 22 by the reciprocal of \frac{2\times 5+1}{5}.
\frac{110}{2\times 5+1}
Multiply 22 and 5 to get 110.
\frac{110}{10+1}
Multiply 2 and 5 to get 10.
\frac{110}{11}
Add 10 and 1 to get 11.
10
Divide 110 by 11 to get 10.