Reviewed by Jessica Kaminski
15 Percent as a fraction in simplest form
Answer: 15 percent as a fraction in simplest form is 3/20
Understanding how to convert percentages into fractions is a fundamental math skill. A percentage represents a number out of 100, so turning 15 percent into a fraction involves expressing 15 out of 100 and then simplifying the result to its lowest terms.
Methods
Math Tutor Explanation Using the Direct Conversion Method
This method involves straightforwardly writing the percent value over 100 and then reducing the fraction to its lowest terms.
Step 1: Step 1: Write 15 percent as a fraction, which is 15/100
Step 2: Step 2: Simplify 15/100 by dividing both numerator and denominator by their greatest common divisor, which is 5
Math Tutor Explanation Using Decimal Conversion
You can also convert the percent to a decimal first, then to a fraction for simplification.
Step 1: Step 1: Convert 15 percent to a decimal by dividing by 100 to get 0.15
Step 2: Step 2: Write 0.15 as a fraction, which is 15/100
Step 1:
Step 2:
Math Tutor suggests: Practice Converting Percents and Decimals to Fractions
Strengthen your understanding of converting percents and decimals to fractions in simplest form with these related exercises.
FAQ on Percentage to Fraction Conversion
What does percent mean?
Percent means 'per hundred' and is used to express a number as a part of 100.
How do you simplify a fraction?
To simplify a fraction, divide both the numerator and the denominator by their greatest common divisor.
Can every percent be reduced to a fraction in simplest form?
Yes, any percent can be converted to a fraction and then simplified by reducing it to its lowest terms.
Why is 15% equal to 3/20 and not 15/100?
15% is initially 15/100, but when simplified by dividing both by 5, it reduces to 3/20.
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