Question

Multiply: $-0.007\times 5\frac{5}{14}\times (-10)$

Answer 1

Multiplying $-0.007\times 5\frac{5}{14}\times (-10)$

$\begin{array}{rcl}-0.007\mathrm{\times }5\frac{5}{14}\mathrm{\times }(-10)& =& -0.007\times {\displaystyle \frac{14\times 5+5}{14}}\times \left(-10\right)\\ & =& -0.007\times {\displaystyle \frac{75}{14}}\times \left(-10\right)\\ & =& -{\displaystyle \frac{{\displaystyle \stackrel{1}{\cancel{7}}}}{100\cancel{0}}}\times {\displaystyle \frac{75}{{\displaystyle \underset{2}{\cancel{14}}}}}\times \left(-1\cancel{0}\right)\\ & =& {\displaystyle \frac{{\displaystyle \stackrel{3}{\cancel{75}}}}{{\displaystyle \underset{4}{\cancel{100}}}\times 2}}\\ & =& {\displaystyle \frac{3}{8}}\end{array}$

Hence, $-0.007\times 5\frac{5}{14}\times (-10)$$=$ $\frac{3}{8}$