To convert the decimal \(-7.725\) into a mixed number, follow these steps:

1. Separate the whole number and the decimal part:  
   The whole number is \(-7\), and the decimal part is \(0.725\).

2. Convert the decimal part to a fraction:  
   \(0.725 = \frac{725}{1000}\).

3. Simplify the fraction:  
   The greatest common divisor (GCD) of 725 and 1000 is 25, so divide both the numerator and denominator by 25:  
   \[
   \frac{725}{1000} = \frac{725 \div 25}{1000 \div 25} = \frac{29}{40}
   \]

4. Combine the whole number and the simplified fraction:  
   \(-7.725\) as a mixed number is \(-7 \frac{29}{40}\).

So, \(-7.725\) as a mixed number is \(-7 \frac{29}{40}\).

Would you like more details, or do you have any questions?

Here are 5 related questions to expand your understanding:
1. How do you convert a repeating decimal to a fraction?
2. What are the steps for simplifying fractions?
3. How can you convert improper fractions to mixed numbers?
4. How do you find the greatest common divisor (GCD) of two numbers?
5. How can you convert a mixed number back to a decimal?

**Tip:** Always simplify fractions by dividing the numerator and denominator by their greatest common divisor!

Learn how to convert the decimal -7.725 into a mixed number through detailed steps. This problem involves converting decimals to fractions, simplifying fractions using the greatest common divisor, and forming a mixed number. Perfect for students in Grades 6-8.

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