To convert \(516 \frac{2}{3}\% \) to a decimal or a fraction, follow these steps:

1. **Convert the mixed number to an improper fraction:**
   \(516 \frac{2}{3} = 516 + \frac{2}{3} = \frac{516 \cdot 3}{3} + \frac{2}{3} = \frac{1548}{3} + \frac{2}{3} = \frac{1550}{3}\)

2. **Convert the fraction to a percentage:**
   The fraction \( \frac{1550}{3} \) represents the percentage, which is already given as \( 516 \frac{2}{3}\% \).

3. **Convert the percentage to a decimal:**
   \[
   \frac{1550}{3} \div 100 = \frac{1550}{300} = \frac{155}{30} = \frac{31}{6} \approx 5.1667
   \]

So, \(516 \frac{2}{3}\%\) is equivalent to approximately \(5.1667\) in decimal form.

Would you like more details or have any questions?

Here are 8 related questions:

1. How do you convert a mixed number percentage to a decimal?
2. What is the decimal equivalent of \(50 \frac{1}{4}\%\)?
3. How do you convert a fraction to a percentage?
4. What is the percentage form of \(\frac{7}{8}\)?
5. How do you convert a percentage to a fraction?
6. How do you simplify \(\frac{1550}{300}\) to its lowest terms?
7. What are the steps to convert a percentage to an improper fraction?
8. How do you find the decimal form of an improper fraction?

**Tip:** Always remember to divide by 100 when converting a percentage to a decimal.

Learn how to convert 516 2/3% to a decimal with a detailed step-by-step guide. This problem covers converting mixed number percentages to decimals, including the conversion of mixed numbers to improper fractions and fractions to percentages. Suitable for students in Grades 6-8.

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