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The problem in the image asks to convert the decimal \( 0.49 \) into a fraction in its simplest form.

### Solution:

1. **Write the decimal as a fraction**:
   \[
   0.49 = \frac{49}{100}
   \]

2. **Simplify the fraction**:
   - The greatest common divisor (GCD) of 49 and 100 is 1, meaning \( \frac{49}{100} \) is already in its simplest form.

Thus, the fraction representation of \( 0.49 \) is:
\[
\frac{49}{100}
\]

Would you like more details on converting decimals to fractions, or do you have any questions?

Here are some related questions to further explore:
1. How do you convert repeating decimals to fractions?
2. What are the steps for converting mixed decimals (e.g., 0.1234) to fractions?
3. How do you simplify fractions with large numbers?
4. How do you find the GCD (Greatest Common Divisor) of two numbers?
5. Can every decimal be expressed as a fraction?

**Tip**: Always check if the fraction can be simplified by finding the greatest common divisor of the numerator and denominator!

Convert the decimal 0.49 to a fraction in its simplest form.

Learn how to convert the decimal 0.49 into a fraction. This problem demonstrates how to express a decimal as a fraction and simplify it using the greatest common divisor. Suitable for students in Grades 5-7.

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