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. A percentage is a number or ratio expressed as a fraction of 100. In this case, we can simplify the fraction down to 1/20. 63/1 will become 63/100 after we multiply the top and bottom by 100. This will give you a fraction.įor example. Then multiply them both by ten as many times as you need to get whole numbers on top and bottom. Create a fraction with the decimal as the numerator and "1" as the denominator. To convert a decimal into a fraction, you just have to do the same process in reverse. You show that a decimal repeats by drawing a line over the last two numbers. In some cases, there is no easy way to divide. The result won't always have a simple answer. To turn a fraction into a decimal, divide the numerator by the denominator. Converting fractions into decimal numbersĬonverting fractions to decimals is simple once you know your division. The important thing to know is that, most of the time, you only want to write out to the second decimal place (or the "hundredths" place). That's a bit of an involved process, so we won't go over that step by step here. The best way to calculate decimals is using long division. To keep things simple, we mark off the start of these decimal numbers with a decimal point or period. The number of places we go beyond 1 are called decimal places. With a decimal, though, the numbers go after the 1s place instead of before. It's called a "decimal" because it's done in groups of ten ("dec-" in Latin), like normal numbers. How to handle decimalsĪ decimal is another way of showing a partial number. In general you want to divide down to the smallest numbers you can this is called simplifying fractions. The way to get equivalent fractions is the multiply or divide the top and bottom numbers by the same number. Sometimes fractions can be written differently but have the same value. Improper fractions can also be written out as a mix of a whole number and a fractions. If the number on top is larger we call it an improper fraction. The number on bottom is called the denominator this is how many of those parts make one whole (Two thirds).īecause a fraction means a "part" of something, we call fractions "proper" if the number on top is smaller than the number on bottom (this means that it is less than 1). The number on top is called the numerator this is the number of parts we have ( Two thirds). To use fractions, we need to figure out what number goes on top, and what goes on bottom. "Two thirds" would be written out as 1/3. A fraction usually means a number of equal parts like "one half" and "two thirds." This is written as one whole number over another whole number. How to tackle fractionsįractions are a common way of writing out partial numbers. Fractions and decimals are two common ways to write out partial numbers.
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