For example, the number 0.333… has a repeating pattern of 3s. Repeating decimals are decimal numbers that have a pattern of digits that repeats itself over and over again. In the example of 0.25, the greatest common divisor of 25 and 100 is 25, so we can divide both the numerator and denominator by 25 to get the simplified fraction 1/4.Ĭonverting Repeating Decimals to Fractions Understanding Repeating Decimals Simplify the fraction, if possible, by dividing the numerator and denominator by their greatest common divisor.So, in the example of 0.25, the denominator would be 100. Determine the denominator by placing the number 1 followed by as many zeros as there are digits after the decimal point.So, in the example of 0.25, the numerator would be 25. Write the decimal number as the numerator of the fraction.For example, in the number 0.25, the last digit is 5, and its place value is hundredths. Identify the place value of the last digit after the decimal point.To convert decimal to a fraction, follow these steps: convert decimals to fractions Steps to Convert Terminating Decimals to Fractions Converting terminating decimals to fractions is relatively straightforward. For example, the number 0.75 is a terminating decimal because it ends after the second digit. Terminating decimals are decimal numbers that have a finite number of digits after the decimal point. Converting Terminating Decimals to Fractions Understanding Terminating Decimals By understanding the basic concept, we can move on to converting both terminating and repeating decimals to fractions. The denominator of the fraction is determined by the place value of the last digit after the decimal point. Because you can convert both positive and negative values.Convert decimals to fractions: Basic ConceptĬonvert decimals to fractions involves expressing a decimal value as a ratio of two integers. This function makes this tool more unique. As a result, you will get the fraction result in negative. So, to find the fraction of –1.5 just simply enter -1.5 in the input field. Since 4 is only the digit that keeps on repeating. The main problem is entering these numbers is that, the last digit is repeating forever.įor example, you want to find the fraction of 0.44444. Process to Convert Repeating Decimals Values into FractionĮxample of repeating decimals are 0.66666666., 4.7628888888. As a result, you will get the conversion result below with full formula and calculation.After that click on "Calculate" to show a result.So, enter the decimal numbers that you want to convert into a fraction.Firstly, you can see an input boxes at top of the web page to enter decimal value.Then open Decimal to Fraction Calculator in any browser like Chrome, Firefox, or Safari.Therefore, you will need a smart device with an active Internet Connection. Most importantly, this is an online calculator.Here the last digit is at the thousandth place therefore we multiply and divide 4.125 by 1000.Īfter simplification and converting into a proper fraction we will get 4 1⁄ 8. Example 3: Calculate the fraction of 4.125 Therefore, we can convert it into a proper fraction. So, the result is 3/2 and that is an improper fraction. Here the last digit is at the tenth, therefore, we multiply 1.5 by 10 and divide by 10. So, we can say that, fraction of 0.35 is 7/20. So, we should have to multiply and divide by 100. The last digit is 5 that is at the hundredths place. Here, 1 comes at tenths, 2 comes at hundredths, and 3 comes at thousandths. Let's understand it with a simple example. How to Convert Decimal to Fraction?įor conversion, it's important to know about units after the decimal. Even more, in this article, we will discuss how to convert decimals into fractions manually using a simple formula. So, for that, you can use this converter. But some calculations can be very complex. What does it mean? If we divide 1 by 2 then we get the answer 0.5. Look at this example to understand the difference between decimals and fractions. On the other hand, fractional values are like 1/4, 1/2, 3/8, 100/990, and so on. Well, first of all, let's revise some basics.ĭecimal is values like 2.56, 31.03, 0.004, and so on. Our tool will help you and make your work easy and fast. But it's very frustrating who doesn't like mathematics. It's very interesting for someone who loves mathematics. Yes, it's decimals! Then we moved ahead of decimal to fraction conversion. Playing with simple numbers was easy and fun until numbers arrived with points. Remember your mathematics class when you were a kid. From childhood, we were very interested in numbers and equations.
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