$$\frac{ 6 }{ 17 } \times \frac{ 34 }{ 15 } - \frac{ 6 }{ 35 } \times \frac{ 21 }{ 3 }$$
$-\frac{2}{5}=-0.4$
$$\frac{6\times 34}{17\times 15}-\frac{6}{35}\times \frac{21}{3}$$
$$\frac{204}{255}-\frac{6}{35}\times \frac{21}{3}$$
$$\frac{4}{5}-\frac{6}{35}\times \frac{21}{3}$$
$$\frac{4}{5}-\frac{6}{35}\times 7$$
$$\frac{4}{5}-\frac{6\times 7}{35}$$
$$\frac{4}{5}-\frac{42}{35}$$
$$\frac{4}{5}-\frac{6}{5}$$
$$\frac{4-6}{5}$$
$$-\frac{2}{5}$$
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$-\frac{2}{5} = -0.4$