$$( - 3 \frac { 2 } { 5 } ) \div \frac { 17 } { 25 } \frac { 17 } { 25 } \div ( - 3 \frac { 2 } { 5 } )$$
$1$
$$\frac{\frac{-\frac{15+2}{5}}{\frac{17}{25}}\times \frac{17}{25}}{-\frac{3\times 5+2}{5}}$$
$$\frac{\frac{-\frac{17}{5}}{\frac{17}{25}}\times \frac{17}{25}}{-\frac{3\times 5+2}{5}}$$
$$\frac{-\frac{17}{5}\times \frac{25}{17}\times \frac{17}{25}}{-\frac{3\times 5+2}{5}}$$
$$\frac{\frac{-17\times 25}{5\times 17}\times \frac{17}{25}}{-\frac{3\times 5+2}{5}}$$
$$\frac{\frac{-425}{85}\times \frac{17}{25}}{-\frac{3\times 5+2}{5}}$$
$$\frac{-5\times \frac{17}{25}}{-\frac{3\times 5+2}{5}}$$
$$\frac{\frac{-5\times 17}{25}}{-\frac{3\times 5+2}{5}}$$
$$\frac{\frac{-85}{25}}{-\frac{3\times 5+2}{5}}$$
$$\frac{-\frac{17}{5}}{-\frac{3\times 5+2}{5}}$$
$$\frac{-\frac{17}{5}}{-\frac{15+2}{5}}$$
$$\frac{-\frac{17}{5}}{-\frac{17}{5}}$$
$$1$$
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