Which number gives the exact value of three and seven fifteenths?

 3.5
 three and forty six hundredths with the six repeating
 fifteen twenty seconds
 346%

To determine which number gives the exact value of "three and seven fifteenths," we first express the fractional part, \( \frac{7}{15} \), as a decimal.

1. Divide 7 by 15:  
   \[
   \frac{7}{15} = 0.4666\ldots (\text{with 6 repeating})
   \]
   
2. So, the exact value of "three and seven fifteenths" is:
   \[
   3 + 0.4666\ldots = 3.4666\ldots (\text{with 6 repeating})
   \]

This corresponds to the answer "three and forty-six hundredths with the six repeating."

### Answer: "three and forty-six hundredths with the six repeating"

Do you want more details, or have any questions? Here are some related questions for deeper understanding:

1. How do you convert fractions into decimals?
2. What are repeating decimals and how do you represent them?
3. How do you round repeating decimals to a specific number of decimal places?
4. How can you convert repeating decimals back into fractions?
5. What are some real-life applications of repeating decimals?

**Tip**: When working with repeating decimals, it's useful to represent them using a bar notation (e.g., \( 0.\overline{6} \) for \( 0.666\ldots \)).

Which number gives the exact value of three and seven fifteenths? 3.5, three and forty six hundredths with the six repeating, fifteen twenty seconds, 346%

Discover the exact value of three and seven fifteenths by converting the fraction \( \frac{7}{15} \) into a repeating decimal (0.4666 with 6 repeating). This problem highlights key concepts like fractions, division, and repeating decimals, and is suitable for students in Grades 6-8.

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