Reviewed by Rachelle Bencio Yu
What is 12% as a fraction?
Answer: 12% as a fraction is 3/25
Converting a percentage to a fraction is a fundamental math skill that helps us understand parts of a whole in different formats. In this case, we want to express 12% (which represents 12 out of every 100) as a simplified fraction.
Methods
Math Tutor Explanation Using the Basic Fraction Conversion Method
This is the standard approach to convert a percent into a fraction by writing the percent over 100 and then simplifying the result.
Step 1: Step 1: Write 12% as 12 over 100, so 12/100
Step 2: Step 2: Simplify the fraction by dividing both numerator and denominator by their greatest common divisor, which is 4
Math Tutor Explanation Using the Decimal to Fraction Method
You can also convert a percent to a decimal first, then to a simplified fraction.
Step 1: Step 1: Convert 12% to a decimal by dividing by 100, which gives 0.12
Step 2: Step 2: Write 0.12 as a fraction by recognizing it as 12/100
Step 1:
Step 2:
Math Tutor suggests: More Practice with Percents and Fractions
Strengthen your understanding of converting between percentages, decimals, and fractions with these related exercises.
FAQ on Percentages and Fractions
Why do we divide by 100 to convert a percent to a fraction?
Percent means 'per hundred,' so dividing by 100 shows how many parts out of 100.
How do I know when a fraction can't be simplified further?
A fraction is fully simplified when the numerator and denominator share no common divisors other than 1.
Can all percentages be converted into fractions?
Yes, every percentage can be written as a fraction and then simplified if possible.
Is 12% as a fraction always 3/25, or could it be written another way?
3/25 is the simplest fraction for 12%, but you could also write it as 12/100 before simplifying.
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