https://file.aiquickdraw.com/mathbot/file/1725460332471sb44bof5.jpg

The problem in the image asks to convert the fraction \( \frac{4}{7} \) to a decimal and choose the correct answer, with the options provided.

### Step 1: Convert the fraction to a decimal
To convert \( \frac{4}{7} \) to a decimal, divide 4 by 7:

\[
\frac{4}{7} \approx 0.5714285714285714
\]

This decimal is repeating with a pattern of "571428".

### Step 2: Rounding the decimal
Since the question specifies to choose the one with the correct digits after rounding, we need to round the decimal accordingly:

- **0.571** when rounded to three decimal places.
- **0.5714** when rounded to four decimal places.

### Conclusion
The correct answer that corresponds to the repeating decimal \( \frac{4}{7} \) and matches the rounding would be **0.571** when rounded to three decimal places.

### Answer:
- **Option C: 0.571** is the correct answer.

Would you like any further details or explanations?

Here are five related questions to expand your understanding:
1. How do you convert a repeating decimal back into a fraction?
2. What is the decimal representation of the fraction \( \frac{1}{3} \)?
3. Why do some fractions have repeating decimals, while others do not?
4. How would you express \( 0.333\ldots \) (repeating) as a fraction?
5. How do you determine the number of digits in the repeating sequence of a fraction?

**Tip:** To identify whether a fraction will have a repeating or terminating decimal, check if the denominator has only the prime factors 2 and 5. If it does, the decimal will terminate; otherwise, it will repeat.

Convert the fraction 4/7 to a decimal. If it's a repeating decimal, choose the one with the correct digits.

Learn how to convert the fraction 4/7 into a decimal and identify the correct digits in the repeating sequence. This problem covers key mathematical concepts like fractions, decimals, and rounding. Suitable for students in Grades 5-7.

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