Express ninexpress nine point 062 as a mixed number in simplest form

To express \(9.062\) as a mixed number in its simplest form, follow these steps:

1. **Separate the whole number and the decimal part:**
   - The whole number part is \(9\).
   - The decimal part is \(0.062\).

2. **Convert the decimal part to a fraction:**
   - \(0.062\) can be written as \(\frac{62}{1000}\) because \(0.062\) means 62 thousandths.

3. **Simplify the fraction:**
   - Find the greatest common divisor (GCD) of 62 and 1000. The GCD is 2.
   - Divide both the numerator and the denominator by 2:
     \[
     \frac{62 \div 2}{1000 \div 2} = \frac{31}{500}
     \]
   So, \(0.062\) simplifies to \(\frac{31}{500}\).

4. **Combine the whole number and the fraction:**
   - The mixed number is \(9 \frac{31}{500}\).

Thus, \(9.062\) as a mixed number in simplest form is \(9 \frac{31}{500}\).

Would you like any further explanation on this process or have additional questions?

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Here are 8 related questions to explore further:
1. How do you convert \(7.125\) to a mixed number?
2. What is the simplest form of \(\frac{45}{60}\)?
3. How do you find the GCD of two numbers?
4. How do you convert a fraction back into a decimal?
5. What is the difference between a proper and an improper fraction?
6. How do you add mixed numbers with unlike denominators?
7. How do you multiply a whole number by a fraction?
8. What steps do you follow to simplify complex fractions?

**Tip:** When simplifying fractions, always start by finding the greatest common divisor (GCD) of the numerator and denominator.

Learn how to convert 9.062 to a mixed number in its simplest form with step-by-step instructions. This problem covers converting decimals to fractions, simplifying fractions using GCD, and understanding mixed numbers. Suitable for students in Grades 6-8.

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