Let's analyze the problem in the image.

Part A: Mixed Number Representation

The repeating decimal given is $8.\overline{3}$.

This can be expressed as a mixed number by recognizing that the repeating decimal $0.\overline{3}$ is equivalent to the fraction $\frac{1}{3}$.

So, $8.\overline{3} = 8 + \frac{1}{3} = 8 \frac{1}{3}$.

Correct Answer for Part A: $8 \frac{1}{3}$

Part B: Improper Fraction Representation

Next, convert the mixed number $8 \frac{1}{3}$ into an improper fraction.

To do this: $8 \times 3 + 1 = 24 + 1 = 25$ So, $8 \frac{1}{3} = \frac{25}{3}$.

Correct Answer for Part B: $\frac{25}{3}$

Summary

• Part A: $8 \frac{1}{3}$ (Correct choice is the first option).
• Part B: $\frac{25}{3}$ (Correct choice is the first option).

Would you like further details or have any questions?

Here are five related questions:

1. How do you convert a repeating decimal to a fraction?
2. What is the general method for converting a mixed number to an improper fraction?
3. How would you convert $7.\overline{4}$ to a mixed number?
4. What is the improper fraction form of $9.\overline{6}$?
5. Can you explain the steps to convert $0.\overline{7}$ into a fraction?

Tip: To convert a repeating decimal to a fraction, set the repeating decimal equal to a variable, multiply by a power of 10 to shift the decimal point, and then subtract to eliminate the repeating part before solving for the variable.