![]() The cookie is used to store the user consent for the cookies in the category "Performance". ![]() This cookie is set by GDPR Cookie Consent plugin. The cookie is used to store the user consent for the cookies in the category "Other. The cookies is used to store the user consent for the cookies in the category "Necessary". The cookie is set by GDPR cookie consent to record the user consent for the cookies in the category "Functional". The cookie is used to store the user consent for the cookies in the category "Analytics". These cookies ensure basic functionalities and security features of the website, anonymously. Necessary cookies are absolutely essential for the website to function properly. We use tiny Unicode characters to present the fractional part of the mixed number. In case the resulting fraction is an improper fraction it’s also presented in the form of a mixed number. Or, even simpler, in view that 3.125 = 3 + 0.125 we can convert the fractional part only and have as the result: 3.125 = 3 + 0.125 = 3 + 1 / 8 = 3 1/8. So, if we have initially 312.5%, we can convert it to the fraction 3.125, and then we could have 3.125 = 3125 / 1000 = 25 / 8 = 3 1/8. In our example we can simplify the fraction, dividing the numerator and denominator by GCD = 125: 0.125 = 125 / 1000 = 1 / 8.ĥ) In case the numerator is greater than the denominator (the initial percentage is greater than 100%) you can further simplify the remaining fraction converting it to a mixed number. In our example we will have: 0.125 = 0.125 / 1 = 1.25 / 10 = 12.5 / 100 = 125 /1000.Ĥ) Reduce the fraction dividing both the numerator and denominator by the greatest common divisor (GCD). Now, rewrite this number as a fraction: 0.125 = 0.125 / 1.ģ) Multiply the numerator and denominator of this fraction by 10 until the decimal point in the numerator moves to the far right position. We have to convert this percentage to a decimal: 12.5% = 12.5 / 100 = 0.125.Ģ) Make a fraction with the decimal number as the numerator and write 1 as the denominator. So, the algorithm of conversion percentages to fractions used in this Percent to Fraction Calculator is as follows:ġ) Divide a given percentage by 100 to get a decimal number. For non repeating decimals the algorithm of conversion to a fraction is quite simple and is described in our Decimal To Fraction Converter. To convert a percent to a fraction, you first have to convert the percentage to a decimal just dividing the percentage by 100, and then convert the decimal to a fraction. It is actually just a special way of expressing a fraction with the denominator 100. That's how you turn a percentage into a fraction.A percentage is a number or ratio expressed as a fraction of 100. Since we know that both 8 and 10 are divisible by 2, the fraction can be simplified to 4/5. Because both 80 and 100 are divisible by ten in this situation, 80/100 equals 8/10. You can then simplify your fraction of 100 once you have it. We recommend considering a "percent" as a "fraction of 100." For illustration, the fraction 80/100 is the same as 80 percent. Take the 0.125 and move 2 decimals right: 01.25 and then 012.5 hence, 12.5% can be stated automatically. Step 3 Example by moving decimals: (The easiest one) ![]() Reducing 5/10 to 1/2 may help you understand the situation, and you may even notice that 1/2 Equals 0.50. ![]() However, if you must convert by long division, lowering the number may make the math easier. You can lower a fraction before converting it to a decimal, but you don't have to because the result will be the same. Step 2 To convert a decimal number to a percentage, multiply it by 100. To convert a fraction, such as 1/5, to a decimal, you must do the following math: dividing 1 by 5 "Divided by" is indicated by the fraction bar between the top (numerator) and bottom (denominator) numbers. Step 1 Make a decimal number out of the fraction ![]()
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