What is 25% as a fraction?

Answer: 25% as a fraction is 1/4

When converting a percentage to a fraction, we express the percent value over 100 and then simplify if possible. This approach allows us to understand percentages in terms of equal parts of a whole, which makes it easier to work with them in mathematical calculations.

Methods

Math Tutor Explanation Using the Fraction over 100 Method

This method starts by writing the percent as a fraction with a denominator of 100 and then simplifying the resulting fraction.

Step 1: Step 1: Write 25% as 25 over 100 (25/100)

Step 2: Step 2: Simplify 25/100 by dividing numerator and denominator by 25

Math Tutor Explanation Using the Division Method

Here, we convert the percent to a decimal and then write it as a simplified fraction.

Step 1: Step 1: Convert 25% to a decimal, which is 0.25

Step 2: Step 2: Write 0.25 as a fraction, 25/100

Step 1:

Step 2:

Math Tutor suggests: Practice Converting Percents, Decimals, and Fractions

Strengthen your skills in turning percents and decimals into fractions with these related questions.

FAQ on Converting Percents to Fractions

Why do we put the percent over 100 when converting to a fraction?

Percent means 'per hundred,' so putting the value over 100 expresses it correctly as a fraction.

How do I simplify a fraction like 25/100?

Divide both the numerator and denominator by their greatest common factor, which is 25 for 25/100.

Can all percents be converted to simple fractions?

Yes, all percents can be expressed as fractions, but some may simplify to repeating or complex fractions.

Is 1/4 the simplest form of 25% as a fraction?

Yes, 1/4 is the simplest form.

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