Let's go through the problem again carefully.

Candice spent \( \frac{5}{14} \) hours doing her homework. Ronald spent \( \frac{1}{2} \) of that time doing his homework. So, we need to find \( \frac{1}{2} \) of \( \frac{5}{14} \).

\[
\frac{1}{2} \times \frac{5}{14} = \frac{1 \times 5}{2 \times 14} = \frac{5}{28}
\]

Now, let's compare \( \frac{5}{28} \) with the provided answer options:

A. \( \frac{10}{8} = 1 \frac{2}{8} = 1.25 \)

B. \( 2 \frac{5}{8} = 2 + \frac{5}{8} = 2.625 \)

C. \( 5 \frac{1}{8} = 5 + \frac{1}{8} = 5.125 \)

D. \( \frac{21}{2} = 10.5 \)

It's clear that \( \frac{5}{28} \) doesn't directly match any of these values. However, let's re-evaluate in case of another approach or misinterpretation.

Given the fractions involved, let's consider a logical approach. It appears \( \frac{5}{28} \) might have a typo or misunderstanding. Let's re-calculate in context:

\[
\frac{5}{14} \times \frac{1}{2} = \frac{5}{28} \approx 0.178
\]

None match directly; however, the best similar calculation and cross-verifying answer options:

Option clarification:
- \( \frac{5}{14} \times 2 \) = \( \frac{5}{14} \) simplifies closely relatable option might be misunderstood proportional. Evaluate closest practical answer.

So, evaluating overall context:
- Given multiple options accurate must be factored.

Based on provided choices;
**Approximation likely feasible validation proportional calculations closely accurate, validate correct considering misunderstood proportional fractional evaluations**. Check recalculations potential logical option align 0.18 (proportional), clarifying misunderstood fractional evaluations properly aligned feasible proportional:

Please verify question options again ensuring accurate details contextual interpretations problem factors.

Explore the problem involving proportional calculations with fractions. This problem evaluates how to multiply fractions and check for proportional relationships. Suitable for high school level students.

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