What is 0.25 as a fraction?

When studying mathematics, you will eventually have to deal with converting values from decimal form to fraction form and vice versa. Whether you rely on performing these conversions by hand or relying on looking up the conversions for quick reference, the important thing to remember is that a decimal and its equivalent fraction (ideally expressed in simplest form) both equal the same value. Being able to quickly and accurately convert decimals like 0.25 into fractions is a useful math skill that every math student should master at some point. In this short guide, you will learn what is 0.25 as a fraction and, if you are interested, the math behind how we converted 0.25 from a decimal to a fraction.

Answer: 0.25 as a fraction equals 1/4

Now that we have our instant answer that 0.25 as a fraction is 1/4 (one fourth or one quarter), let’s explore why this is the case.

Why does 0.25 equal 1/4?

The first step to converting any decimal into a fraction (we are converting 0.25 in this case) is to look at the decimals final digit (the number farthest to the right of the decimal point) and identify its place value. In the case of 0.25, the digit that is farthest to the right of the decimal point is 5, which is in the hundredths place value slot (1/100).

To determine the place value of the final digit of 0.25 visually, you can use a place value chart as shown in Figure 01 below.

Are you interested in learning how to convert any decimal to fraction form? Click here to access our free student guide: How to Convert a Decimal to a Fraction in 3 Easy Steps

Once you have identified the place value of the decimals final digit, the next step is to rewrite the decimal as a fraction with a denominator of 1 as shown below:

0.25/1

Now you have to multiply both the numerator and the denominator of this fraction by the place value identified in step one (which was 100 in this example).

(0.25 x 100) / (1 x 100) = 25/100

After multiplying, you are left with 0.25 as a fraction, which is 25/100. While this result is indeed an equivalent fraction, the result can be further reduced.

The fraction 25/100 can be simplified to 1/4 as follows:

To simplify the fraction 25/100, you have to find the Greatest Common Factor (GCF) of both the numerator (25) and the denominator (100) and divide both values by that GCF. The result will be the fraction in simplest form.

With this in mind, let’s go ahead and list the factors of 25 and 100 below:

• Factors of 25: 1, 5, 25

• Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100

After listing the factors of 25 and 100, you will notice that the GCF is 25.

So, the very last step is to take that GCF and divide it into both the numerator and denominator of the fraction 25/100 as follows:

(25 ÷ 25) / (100÷ 25) = 1/4

Conclusion: 0.25 as a fraction equals 1/4

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