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\frac{\left(2\times 8+1\right)\times 4}{8\times 17}
Divide \frac{2\times 8+1}{8} by \frac{17}{4} by multiplying \frac{2\times 8+1}{8} by the reciprocal of \frac{17}{4}.
\frac{1+2\times 8}{2\times 17}
Cancel out 4 in both numerator and denominator.
\frac{1+16}{2\times 17}
Multiply 2 and 8 to get 16.
\frac{17}{2\times 17}
Add 1 and 16 to get 17.
\frac{17}{34}
Multiply 2 and 17 to get 34.
\frac{1}{2}
Reduce the fraction \frac{17}{34} to lowest terms by extracting and canceling out 17.