$$\frac{{\root 3 \of 8 }}{{\sqrt {16} }} \div \sqrt {\frac{{100}}{{49}}} \times \root 3 \of {125} $$      is equal to = ?

$$\eqalign{ & {\text{According to the question,}} \cr & \frac{{\root 3 \of 8 }}{{\sqrt {16} }} \div \sqrt {\frac{{100}}{{49}}} \times \root 3 \of {125} \, \cr & \Rightarrow \frac{2}{4} \div \frac{{10}}{7} \times 5 \cr & \Rightarrow \frac{2}{4} \times \frac{7}{{10}} \times 5 \cr & \Rightarrow \frac{7}{4} \cr & \Rightarrow 1\frac{3}{4} \cr} $$