What is the value of $$\frac{{3.6 \times 1.62 + 0.48 \times 3.6}}{{1.8 \times 0.8 + 10.8 \times 0.3 - 2.16}}?$$

Solution (By Examveda Team)

$$\eqalign{ & \frac{{3.6 \times 1.62 + 0.48 \times 3.6}}{{1.8 \times 0.8 + 10.8 \times 0.3 - 2.16}} \cr & = \frac{{\frac{1}{{1000}}\left[ {36 \times 162 + 48 \times 36} \right]}}{{\frac{1}{{100}}\left[ {18 \times 8 + 108 \times 3 - 216} \right]}} \cr & = \frac{1}{{10}}\left[ {\frac{{36\left( {162 + 48} \right)}}{{18\left( {8 + 18 - 12} \right)}}} \right] \cr & = \frac{1}{{10}}\left[ {\frac{{36 \times 210}}{{18 \times 14}}} \right] \cr & = 3 \cr} $$