What is 0.195 into a fraction in its simplest form 

To convert the decimal \( 0.195 \) into a fraction:

1. Write \( 0.195 \) as \( \frac{195}{1000} \) since there are three decimal places.
   
2. Simplify the fraction \( \frac{195}{1000} \) by finding the greatest common divisor (GCD) of 195 and 1000. The GCD of 195 and 1000 is 5.

3. Divide both the numerator and the denominator by 5:

\[
\frac{195 \div 5}{1000 \div 5} = \frac{39}{200}
\]

Thus, the simplest form of \( 0.195 \) as a fraction is \( \frac{39}{200} \).

Would you like further clarification or additional details?

Here are 5 related questions you might find interesting:
1. How do you convert repeating decimals into fractions?
2. What is the fraction equivalent of \( 0.3333 \dots \)?
3. How do you simplify fractions step-by-step?
4. What is the simplest form of \( 0.125 \) as a fraction?
5. How do you find the GCD of two numbers?

**Tip:** Always check if a fraction can be simplified by dividing both the numerator and denominator by their GCD.

What is 0.195 into a fraction in its simplest form

Learn how to convert the decimal 0.195 into a fraction. This guide explains how to represent 0.195 as a fraction (195/1000) and how to simplify it using the greatest common divisor (GCD) to get the simplest form (39/200). Suitable for students in Grades 6-8.

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