Question

Evaluate
$\frac{0.8\times 0.8\times 0.8+0.5\times 0.5\times 0.5}{0.8\times 0.8-0.8\times 0.5+0.5\times 0.5}$

Answer 1

Simplifying $\frac{0.8\times 0.8\times 0.8+0.5\times 0.5\times 0.5}{0.8\times 0.8-0.8\times 0.5+0.5\times 0.5}$

$\frac{0.8\times 0.8\times 0.8+0.5\times 0.5\times 0.5}{0.8\times 0.8-0.8\times 0.5+0.5\times 0.5}$

$=\frac{{\left(0.8\right)}^3+{\left(0.5\right)}^3}{{\left(0.8\right)}^2-\left(0.8\times 0.5\right)+{\left(0.5\right)}^2}$

$=\frac{0.512+0.125}{0.64-0.4+0.25}$

$=\frac{0.637}{0.49}$

$=1.3$