Simplify : $$\frac{{0.41 \times 0.41 \times 0.41 + 0.69 \times 0.69 \times 0.69}}{{0.41 \times 0.41 - 0.41 \times 0.69 + 0.69 \times 0.69}} = ?$$
Correct Answer: 1.1
$$\eqalign{ & \frac{{0.41 \times 0.41 \times 0.41 + 0.69 \times 0.69 \times 0.69}}{{0.41 \times 0.41 - 0.41 \times 0.69 + 0.69 \times 0.69}} \cr & = \frac{{{{\left( {0.41} \right)}^3} + {{\left( {0.69} \right)}^3}}}{{{{\left( {0.41} \right)}^2} - 0.41 \times 0.69 + {{\left( {0.69} \right)}^2}}} \cr & .....\left \cr & = 0.41 + 0.69 \cr & = 1.1 \cr} $$