What is 0.04 as a fraction?

Answer: 0.04 as a fraction is 1/25

Converting decimals to fractions is a helpful skill in mathematics, especially when you want to express numbers in different forms. The decimal 0.04 can be written as a fraction by understanding the place value of each digit and simplifying the result.

Methods

Math Tutor Explanation Using the Place Value Method

This method uses the place value of the decimal to directly write it as a fraction.

Step 1: Step 1: Recognize that 0.04 means 4 hundredths, or 4 out of 100

Step 2: Step 2: Write 0.04 as the fraction 4/100

Math Tutor Explanation Using the Division Method

This method rewrites the decimal as a division problem and simplifies the resulting fraction.

Step 1: Step 1: Write 0.04 as 4 divided by 100, or 4/100

Step 2: Step 2: Simplify the fraction by dividing both the top and bottom by their greatest common factor (4), resulting in 1/25

Step 1:

Step 2:

Math Tutor suggests: More Practice with Decimal to Fraction Conversion

Want to master changing decimals into fractions? Try these similar questions to sharpen your skills!

FAQ on Converting Decimals to Fractions

How do you convert a decimal to a fraction?

Place the decimal number over its place value and simplify if necessary.

Why do you simplify fractions after conversion?

Simplifying reduces the fraction to its lowest terms, making it easier to read and use.

What if the decimal does not terminate?

If the decimal repeats, it can be written as a fraction using algebraic or pattern methods.

Are all decimals convertible to fractions?

All terminating and repeating decimals can be written as fractions, but non-terminating, non-repeating decimals cannot.

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