To convert the decimal \( 0.245 \) to a fraction, follow these steps:

### Step 1: Express the decimal as a fraction
Since \( 0.245 \) has three decimal places, you can write it as:

\[
0.245 = \frac{245}{1000}
\]

### Step 2: Simplify the fraction
Now, simplify \( \frac{245}{1000} \) by finding the greatest common divisor (GCD) of 245 and 1000.

- The factors of 245 are \( 1, 5, 7, 35, 49, 245 \).
- The factors of 1000 are \( 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000 \).

The GCD of 245 and 1000 is 5.

Now, divide both the numerator and the denominator by their GCD:

\[
\frac{245 \div 5}{1000 \div 5} = \frac{49}{200}
\]

### Final Answer
The simplified fraction of \( 0.245 \) is:

\[
0.245 = \frac{49}{200}
\]

Would you like any further details or explanations?

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Here are 8 related questions for further exploration:

1. How do you convert repeating decimals into fractions?
2. What is the decimal equivalent of \( \frac{49}{200} \)?
3. How do you simplify a fraction when the GCD is not easily identifiable?
4. What is the fractional representation of \( 0.875 \)?
5. How would you convert \( 0.0125 \) into a fraction?
6. What is the process for converting a fraction to a decimal?
7. How can you convert a mixed number into an improper fraction?
8. How do you determine if a fraction is in its simplest form?

**Tip:** When simplifying fractions, always look for the GCD to make the process more efficient.

Learn how to convert the decimal 0.245 to a fraction with a detailed step-by-step solution. This problem covers decimal to fraction conversion, finding the greatest common divisor (GCD), and simplifying fractions. Suitable for students in Grades 6-8.

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