Reviewed by Laila A. Lico
60 Percent as a fraction in simplest form
Answer: 60 percent as a fraction in simplest form is 3/5
Percentages represent parts per hundred and can be converted to fractions very easily. To express 60 percent as a fraction in its simplest form, you start by writing it as 60 out of 100, and then reduce the fraction by finding the greatest common divisor. This process is useful for comparing values or making calculations across different formats.
Methods
Math Tutor Explanation Using the Direct Conversion Method
This method converts a percentage directly to a fraction and simplifies it.
Step 1: Step 1: Write 60 percent as the fraction 60/100
Step 2: Step 2: Simplify 60/100 by dividing both the numerator and denominator by their greatest common divisor, which is 20
Math Tutor Explanation Using Decimal Conversion
Convert the percentage to a decimal, then write it as a fraction and simplify.
Step 1: Step 1: Convert 60% to decimal form, which is 0.6
Step 2: Step 2: Write 0.6 as a fraction (6/10)
Step 1:
Step 2:
Math Tutor suggests: Convert Percents and Decimals to Fractions
Continue practicing how to change percents and decimals into fractions in simplest form with these similar questions.
FAQ on Percent to Fraction Conversion
What does 'in simplest form' mean?
It means the fraction cannot be reduced any further; numerator and denominator share no common factors except 1.
How do you find the greatest common divisor?
List the factors for numerator and denominator and choose the largest one common to both.
Can every percentage be converted to a simple fraction?
Yes, any percentage can be written as a fraction and, if possible, simplified to its lowest terms.
Is 60% the same as 3/5?
Yes, 60% is equivalent to 3/5 when written as a fraction in simplest form.
How do I convert a percent greater than 100% to a fraction?
Write it over 100 and simplify as with any percentage; for example, 150% is 150/100, which simplifies to 3/2.
Math & reading from 1st to 9th grade
Looking for homework support for your child?
Choose kid's grade
