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These cookies ensure basic functionalities and security features of the website, anonymously. Necessary cookies are absolutely essential for the website to function properly. To use this calculator, enter a decimal number in the top Input field, select the fraction precision that you want, and click the Convert to Fraction button. 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. Percent(%) to fraction : calculator of percent = fraction ? (e.g.A percentage is a number or ratio expressed as a fraction of 100.Decimal to percent(%) : calculator of decimal = percent ? (e.g.Fraction to decimal : calculator of fraction = decimal ? (e.g.Simplify the remaining fraction to a mixed number fraction if possible.Convert the fraction to a decimal first, then multiply the answer. Reduce the fraction: Find the Greatest Common Factor (GCF) of the numerator and denominator and reduce the fraction by dividing both numerator and denominator by the GCF. Divide 100 by the numerator, and then multiply both numerator and denominator by the answer.If you have x decimal places then multiply numerator and denominator by 10 x. Convert the decimal to a whole number: Count how many places are to the right of the decimal.Put a 1 in the denominator (bottom) of the fraction. Use that number as the numerator (top) of a fraction.Divide the percentage by 100 to get a decimal number.The result will be calculated and displayed automatically.To convert fraction to percent, fill in the blank of fraction.To convert percent to fraction, fill in the blank of percent.
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