Convert a fraction to a decimal. Convert proper and improper fractions to decimals. Convert a ratio to a decimal. This calculator shows the steps and work to convert a fraction to a decimal number. Show How to Convert a Fraction to a DecimalIn a fraction, the fraction bar means "divided by." So to find the decimal equivalent of a fraction like 1/4 you need to solve the math problem: 1 divided by 4. How to Turn a Fraction into a Division ProblemDividing numbers is easy with a calculator. If you need to do long division by hand put the top number of the fraction (numerator) inside the division bracket and the bottom number (denominator) outside, to the left of the division bracket. The fraction 1/4 becomes 1 ÷ 4. Complete the division to convert the fraction to a decimal.
You can reduce the fraction to lowest terms first to make the long division math a bit easier. For example, 9/12 = 9 ÷ 12 = 0.75. Using long division to solve this problem by hand or in your head, reducing 9/12 = 3/4, might make the problem easier. You may even recognize that 3/4 = 0.75 because 3 quarters equals 75 cents. Related CalculatorsYou can also see our Long Division Calculator with Decimals to convert a fraction to a decimal and see the work involved in the long division. If you would like help reducing fractions to lowest terms see the Simplifying Fractions Calculator. To convert a decimal to a fraction see the Decimal to Fraction Calculator.
Decimal to fraction converter ► Expand the denominator to be a power of 10. Example #13/5 is expanded to 6/10 by multiplying the numerator by 2 and denominator by 2:
Example #23/4 is expanded to 75/100 by multiplying the numerator by 25 and denominator by 25:
Example #35/8 is expanded to 625/1000 by multiplying the numerator by 125 and denominator by 125:
Method #2
Example #12/5 = 2÷5 = 0.4 Example #21 2/5 = 1+2÷5 = 1.4 Method #3Use long division to divide the fraction's numerator by the fraction's denominator. ExampleCalculate 3/4 by long division of 3 divided by 4: Fraction to decimal conversion table
Decimal to fraction conversion ► See alsoImportant Note: any span of numbers that is underlined signifies that those numbes are repeated. For example, 0.09 signifies 0.090909.... Only fractions in lowest terms are listed. For instance, to find 2/8, first simplify it to 1/4 then search for it in the table below.
Need to convert a repeating decimal to a fraction? Follow these examples: Note the pattern if zeros preceed the repeating decimal: To convert a decimal that begins with a non-repeating part, such as 0.21456456456456456..., to a fraction, write it as the sum of the non-repeating part and the repeating part. Trent S. Help on how to find a whole number into a decimal help help help 1 Expert Answer |