![]() ![]() Step 4- Attach the whole number part of the original number with the fraction obtained in step 3.Step 3- Simplify the fraction obtained.Step 2- Write the decimal part in the fractional form by ignoring the decimal point and dividing it by a power of 10 in which there is the same number of zeros as the decimal places.Step 1- Consider the whole number part and decimal part in the given decimal number separately.Look at the steps to convert such decimal numbers into mixed fraction form: ![]() ∴ x= 7/9 Converting Decimals to Mixed Number Fractionsĭecimals with values greater than 1 can be written as mixed fractions. Multiply the recurring decimal by 10, i.e., Let's consider an example to understand that. To convert any repeating decimal to a fraction, there is a particular method that needs to be applied. Repeating decimals are those that do not end after a finite number of decimal places and some particular digits or a single digit after the decimal point keep on repeating in the number. Converting Decimals to Mixed Number Fractions.Converting Repeating Decimal to Fraction.There are three individual cases that you might come across while converting decimal to fraction, and those are listed below: Go through the sections below to find more examples on how to convert fractions to decimals. Step 3: Fraction format: Numerator/Denominator = 5/10 Step 1: Identify the place value of the last digit.Ġ.5 <- 5 is in the tenths place. Solution: Let's apply the steps that we learned. Let us look at an example to understand these steps. Step 4- Express in terms of the lowest Equivalent fraction.Re-write in the fraction form and simplify it. Step 2- Use that to determine what the denominator of the fraction would be.Step 1- Identify the place value of the digits after the decimal, in the number.When the equivalent fraction cannot be calculated, the error "Sorry, overflow error" will be displayed.Here is a simple 4-step process to convert any decimal into a fraction. Very big numbers or numbers with many digits after the floating point may not be converted here. The result of the conversion is therefore (5/2)+(1/30)=38/15Īll fractions are reduced as soon as possible to simplify the subsequent operations. Each element is converted separately, the non repeating portion is converted as explained above, while the fraction for the repeating portion is obtained by dividing the repeating figures by a number of 9's equal to the length of the sequence, followed by a number of '0's equal to the the number of 0's between the dot and the repeating digits.įor example the number 2.5333. When the number has infinitely repeating decimals, then the fraction is obtained by breaking the number into a sum of the non-repeating portion and the repeating portion. The resulting number is then shown divided by the same power of 10 to represent the original number as a fraction. This is because the number is multiplied by a power of 10 such that the decimal point is removed. When the number has no repeating decimal portion, the numerator of the equivalent fraction is obtained by removing the dot from the number, and the denominator is '1' followed by the same number of 0's as the length of the decimal portion.įor example the number 12.4 is equal to 124 divided by 10, so the equivalent fraction is 124/10, which, when simplified, becomes 62/5. How to convert a decimal number to it's equivalent fraction See the following table for examples: Type of number You may also convert to fractions numbers with infinitely repeating digits by enclosing the repeating digits in parenthesis or by adding '.' at the end of the number. You may enter simple rational numbers with the whole portion separated from the decimal portion by a decimal point (ex. This calculator allows you to convert real numbers, including repeating decimals, into fractions.Įnter a decimal number in the space above, then press Convert to Fraction to send the number and calculate the equivalent fraction. How to use the decimal to fraction calculator. ![]()
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