https://file.aiquickdraw.com/mathbot/file/172541125117468f3nids.jpg

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.

Use the repeating decimal 8.̸̅ to answer the following questions:

Part A: How can it be represented as a mixed number?
Part B: How can it be represented as an improper fraction?

Learn how to convert the repeating decimal 8.3̅ into a mixed number and its corresponding improper fraction. This step-by-step solution is suitable for students in Grades 6-8, covering key concepts such as fractions and decimal conversions.

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