Find the value of $\frac{0.1 \times 0.1 \times 0.1 + 0.02 \times 0.02 \times 0.02}{0.2 \times 0.2 \times 0.2 + 0.04 \times 0.04 \times 0.04}$.
Options:
- A: $\frac{1}{4}$
- B: $\frac{1}{8}$
- C: $\frac{1}{16}$
- D: $\frac{1}{2}$
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