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.