Reviewed by Jo-ann Caballes
What is 6% as a fraction?
Answer: 6% as a fraction is 3/50
Percentages are a way of expressing parts of a whole as a fraction of 100. Converting percentages to fractions is useful in many mathematical situations and helps make calculations easier. Let's look at how to turn 6% into a fraction, step by step.
Methods
Math Tutor Explanation Using the Percent to Fraction Method
This method involves changing the percent sign into a fraction by putting it over 100, then simplifying if possible.
Step 1: Step 1: Write 6% as 6/100
Step 2: Step 2: Simplify 6/100 by dividing both the numerator and the denominator by their greatest common divisor, which is 2
Math Tutor Explanation Using Basic Fraction Reduction
Reduce the initial fraction formed from the percent by finding common factors in the numerator and denominator.
Step 1: Step 1: Identify the factors of both 6 (2, 3, 6) and 100 (2, 4, 5, 10, 20, 25, 50, 100)
Step 2: Step 2: The greatest common divisor is 2, so divide both 6 and 100 by 2
Step 1:
Step 2:
Math Tutor suggests: Practice Percent-to-Fraction and Related Conversions
Keep building your skills with these exercises on turning percentages and decimals into fractions.
FAQ on Converting Percentages to Fractions
How do you convert a percent to a fraction?
Write the percentage over 100 and simplify if possible.
Is 6% equal to 3/50 in its simplest form?
Yes, 3/50 is the simplest fractional form of 6%.
Can all percentages be written as simple fractions?
Most percentages can be written as fractions, though some may be repeating or complex decimals when reduced.
Why do we divide by 100 when converting from percent to fraction?
Percent means per hundred, so dividing by 100 reflects the meaning of the percentage.
What is 6% as a decimal?
6% as a decimal is 0.06.
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