To convert the decimal \(0.075\) into a fraction:

1. **Write the decimal as a fraction:**

\[
0.075 = \frac{75}{1000}
\]

2. **Simplify the fraction:**

Find the greatest common divisor (GCD) of 75 and 1000. The GCD is 25.

\[
\frac{75 \div 25}{1000 \div 25} = \frac{3}{40}
\]

So, \(0.075\) as a simplified fraction is \(\frac{3}{40}\).

Would you like details or have any questions?

Here are some related questions:

1. How do you convert a repeating decimal to a fraction?
2. What are some strategies for simplifying fractions?
3. How do you find the greatest common divisor (GCD) of two numbers?
4. How do you convert a fraction back into a decimal?
5. What is the process for adding or subtracting fractions with different denominators?

**Tip:** When converting a decimal to a fraction, ensure to simplify the fraction to its lowest terms by dividing both the numerator and the denominator by their greatest common divisor.

Learn how to convert the decimal 0.075 into a fraction step-by-step. Simplify the fraction using the greatest common divisor (GCD) method. Suitable for students in Grades 4-6.

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