To convert the decimal \(0.083\) into a mixed fraction, follow these steps:

### Step 1: Identify the place value of the decimal
The decimal \(0.083\) goes to the thousandths place, so it can be written as:

\[
0.083 = \frac{83}{1000}
\]

### Step 2: Simplify the fraction (if possible)
Find the greatest common divisor (GCD) of 83 and 1000. Since 83 is a prime number and does not divide evenly into 1000, the fraction cannot be simplified further.

Thus, the decimal \(0.083\) as a fraction is:

\[
\frac{83}{1000}
\]

### Conclusion
Since \(0.083\) is less than 1, it does not have a whole number part, so the fraction remains as \(\frac{83}{1000}\) (not a mixed fraction).

Do you have any questions or need further clarification?

Here are 5 related questions:
1. How do you convert other decimals like 0.125 into fractions?
2. What are the steps for converting repeating decimals into fractions?
3. How do you simplify complex fractions?
4. What is the difference between improper fractions and mixed fractions?
5. How can you convert fractions back into decimals?

**Tip:** When converting decimals to fractions, always check if the fraction can be simplified by finding the greatest common divisor (GCD).

Learn how to convert the decimal 0.083 into a fraction. This tutorial covers key mathematical concepts like decimal place values, simplifying fractions, and determining prime numbers. Suitable for students in Grades 5-7.

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