https://file.aiquickdraw.com/mathbot/file/1725488177036pbcjbo0e.jpg

The problem in the image asks to convert the decimal \( 0.195 \) into a fraction in its simplest form. Here’s how to solve it:

1. Write the decimal as a fraction:
   \[
   0.195 = \frac{195}{1000}
   \]

2. Simplify the fraction by finding the greatest common divisor (GCD) of 195 and 1000. The GCD of 195 and 1000 is 5.

3. Now, divide both the numerator and the denominator by 5:
   \[
   \frac{195 \div 5}{1000 \div 5} = \frac{39}{200}
   \]

Thus, the decimal \( 0.195 \) as a fraction in its simplest form is:
\[
\boxed{\frac{39}{200}}
\]

Would you like any further details or have questions on this? 

Here are 5 related questions:
1. How do you convert other decimals like 0.375 into fractions?
2. How can you determine the GCD of two numbers quickly?
3. Can you convert repeating decimals into fractions?
4. What are the steps for simplifying fractions?
5. How would you convert a fraction back into a decimal?

**Tip:** When simplifying fractions, always check the GCD to ensure you're reducing the fraction to its simplest form.

Convert the decimal 0.195 to a fraction in simplest form.

Learn how to convert the decimal 0.195 into a fraction in its simplest form. This step-by-step guide explains the decimal-to-fraction conversion process, including finding the GCD to simplify the fraction. Suitable for students in Grades 6-8.

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