$$3 \frac { 1 } { 2 } \times 2 \frac { 1 } { 5 } \times \frac { 25 } { 35 }$$
$\frac{11}{2}=5.5$
$$\frac{6+1}{2}\times \frac{2\times 5+1}{5}\times \frac{25}{35}$$
$$\frac{7}{2}\times \frac{2\times 5+1}{5}\times \frac{25}{35}$$
$$\frac{7}{2}\times \frac{10+1}{5}\times \frac{25}{35}$$
$$\frac{7}{2}\times \frac{11}{5}\times \frac{25}{35}$$
$$\frac{7\times 11}{2\times 5}\times \frac{25}{35}$$
$$\frac{77}{10}\times \frac{25}{35}$$
$$\frac{77}{10}\times \frac{5}{7}$$
$$\frac{77\times 5}{10\times 7}$$
$$\frac{385}{70}$$
$$\frac{11}{2}$$
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$\frac{11}{2} = 5\frac{1}{2} = 5.5$