The value of 370 + 142 + 166 + 3286 + 1130 + 1170 is:

Answer: Option B

$$\begin{array}{rl}& \frac{3}{70}+\frac{1}{42}+\frac{1}{66}+\frac{3}{286}+\frac{1}{130}+\frac{1}{170}\\ & =\left(\frac{3}{70}+\frac{1}{42}\right)+\left(\frac{1}{66}+\frac{3}{286}\right)+\left(\frac{1}{130}+\frac{1}{170}\right)\\ & =\left(\frac{9+5}{70\times 3}\right)+\left(\frac{13+9}{286\times 3}\right)+\left(\frac{17+13}{130\times 17}\right)\\ & =\left(\frac{14}{70\times 3}\right)+\left(\frac{22}{286\times 3}\right)\left(\frac{30}{130\times 17}\right)\\ & =\left(\frac{1}{15}\right)+\left(\frac{1}{13\times 3}\right)+\left(\frac{3}{13\times 17}\right)\\ & =\left(\frac{1}{15}\right)+\left(\frac{17+9}{13\times 3\times 17}\right)\\ & =\left(\frac{1}{15}\right)+\left(\frac{26}{13\times 3\times 17}\right)\\ & =\left(\frac{1}{15}\right)+\left(\frac{2}{3\times 17}\right)\\ & =\left(\frac{17+10}{85\times 3}\right)\\ & =\frac{27}{85\times 3}\\ & =\frac{9}{85}\end{array}$$