Show Just divide the top of the fraction by the bottom, and read off the answer!
... get your calculator and type in "5 / 8 =" The answer should be 0.625 No Calculator? Use Long Division to Decimal Places 0.625 8 )5.000 0 5.04.8 2016 4040 0 In that case we inserted extra zeros and did 5.000 8 to get 0.625 Read the Long Division to Decimal Places page for more details. Another MethodYet another method you may like is to follow these steps:
Step 1: We can multiply 4 by 25 to become 100 Step 2: Multiply top and bottom by 25: Step 3: Write down 75 with the decimal point 2 spaces from the right (because 100 has 2 zeros); Answer = 0.75
Step 1: We have to multiply 16 by 625 to become 10,000 Step 2: Multiply top and bottom by 625: Step 3: Write down 1875 with the decimal point 4 spaces from the right (because 10,000 has 4 zeros); Answer = 0.1875
Step 1: There is no way to multiply 3 to become 10 or 100 or any "1 followed by 0s", but we can calculate an approximate decimal by choosing to multiply by, say, 333 Step 2: Multiply top and bottom by 333: Step 3: Now, 999 is nearly 1,000, so let us write down 333 with the decimal point 3 spaces from the right (because 1,000 has 3 zeros): Answer = 0.333 (accurate to only 3 decimal places !!) 947, 1362, 948, 1361, 3487, 3488, 1363, 3489, 3490, 3491 Copyright © 2021 MathsIsFun.com
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 also
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. 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. Important 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. |