Let's re-evaluate the problem:

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 simplify $\frac{5}{28}$ if possible.

In this case, $\frac{5}{28}$ is already in its simplest form.

Considering the given answer options, it seems there might be a typo or an error, as none match $\frac{5}{28}$. However, let's examine each option to see if any can logically fit or if there's a different interpretation:

A. $\frac{10}{8}$ simplifies to $\frac{5}{4}$, which is not correct. B. $2 \frac{5}{8}$ converts to $\frac{21}{8}$, which is not correct. C. $5 \frac{1}{8}$ converts to $\frac{41}{8}$, which is not correct. D. $\frac{21}{2}$ is also not correct.

None of these options match $\frac{5}{28}$.

Given the available options and the clear calculation, the correct answer should be:

None of the provided options are correct based on the calculation $\frac{5}{28}$.

Please double-check the problem statement or the provided answer choices for any errors.

Would you like further details or have any questions?

Here are 5 questions you might ask next:

1. How do you convert a fraction to its simplest form?
2. Can you help me understand how to identify errors in multiple-choice questions?
3. What is the process for verifying fraction multiplication?
4. How can I compare fractions effectively?
5. What are the common pitfalls in fraction arithmetic?

Tip: When working with fractions, ensure each step is carefully checked, especially when verifying against multiple-choice options.