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\frac{3}{17}\times \frac{34}{9}
Divide \frac{3}{17} by \frac{9}{34} by multiplying \frac{3}{17} by the reciprocal of \frac{9}{34}.
\frac{3\times 34}{17\times 9}
Multiply \frac{3}{17} times \frac{34}{9} by multiplying numerator times numerator and denominator times denominator.
\frac{102}{153}
Do the multiplications in the fraction \frac{3\times 34}{17\times 9}.
\frac{2}{3}
Reduce the fraction \frac{102}{153} to lowest terms by extracting and canceling out 51.