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### Course: Class 7 (Old)>Unit 7

Lesson 3: Percentage conversions

# Converting percents to decimals & fractions example

Converting percentages to decimals and fractions is a fundamental math skill. To convert 18% into a decimal, simply divide by 100, resulting in 0.18. To express it as a simplified fraction, find the greatest common factor, which in this case is 2, and divide both the numerator and denominator by it, giving us 9/50. Created by Sal Khan and Monterey Institute for Technology and Education.

## Want to join the conversation?

• how do make percents into fractions
• Hi Connor - I like to think of a "percent" as a "fraction of 100". For example, 80% is the same thing as the fraction 80/100.

Once you have your fraction of 100, you can then simplify it. In this case, both 80 and 100 are divisible by 10, so 80/100 would equal 8/10. And since in this fraction, both 8 and 10 are divisible by 2, you can simplify it to 4/5. So that's how you can convert a percent into a fraction.
• um does anyone answer these anymore?
• I would want to but everyone already does.
• Honestly, I used to get so worried when trying to do percentage problems. But once I actually do them now, its really simple!
• What would 4% equal? I'm stuck. (Don't judge me I am horrible at these 😂)
• What are you looking for, Fraction Form, or Decimal Form? Don't worry, I'll answer both.
4% is 4/100, which if we divide by 4, would equal 1/25 in Fraction Form. In decimal form, it would be 0.04, since 1 would equal 100% in this case and 0.04 is 4% of one.
• How to change .08 to a fraction
• It would be 8/10.
• What if, when you are trying to convert a fraction to a percentage but the denominator is not a factor of 100? How do you do it?
• The following assumes you are asking to perform all calculations manually.
One way to do it is to perform long division to convert the fraction to a decimal, then you can multiply the decimal by 100 to get a percentage. This assumes you know how to perform long division with decimals in the quotient and the dividend.
For example, if the fraction is 5/16, you could use long division to get a decimal answer to 5 divided by 16 and then multiply that by 100.
Another method is to multiply the fraction by 100 first to get 500/16 then perform long division to get a straight percentage.
If you don't know how to do long division with decimals in the quotient and dividend then using a calculator is probably the best option. (I would use a calculator in this case anyway even though I know long division)
Using a calculator it is as easy as entering 5 / 16 and either pressing the percent key or multiplying by 100.
• can't you just put 18 over 100 then simplify to get your answer?
• Yes, it could be easier to you depending on how your brain works. So yes.
• what 22/25 of per cent of %
• 22/25 in a percent would be 88%,
because you would multiply 25 by 4 to get to 100, then multiply 22 by 4, which equals 88, so 88%( hope this is helpful!)
• How to convert 31/50 into fractino