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To write \(0.45\) as a fraction in its simplest form:

1. Recognize that \(0.45\) is equivalent to \(\frac{45}{100}\), because 0.45 is 45 hundredths.
2. Simplify \(\frac{45}{100}\). Find the greatest common divisor (GCD) of 45 and 100, which is 5.
3. Divide both the numerator and denominator by 5:

\[
\frac{45 \div 5}{100 \div 5} = \frac{9}{20}
\]

Thus, \(0.45\) as a fraction in simplest form is \(\frac{9}{20}\).

Would you like more details on this, or have any questions?

Here are 5 related questions to explore further:
1. How do you convert any decimal into a fraction?
2. What is the greatest common divisor, and how do you find it?
3. Can you simplify a fraction with a larger numerator than the denominator?
4. How would you convert 0.75 into a fraction in simplest form?
5. What are mixed numbers, and how are they related to improper fractions?

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

Write 0.45 as a fraction in simplest form.

Learn how to convert the decimal 0.45 into a fraction and simplify it. This problem demonstrates how to convert a decimal to a fraction and how to simplify by finding the greatest common divisor (GCD). Suitable for students in Grades 4-6.

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