# How to convert fractions to recurring decimals Converting a fraction to a repeating decimal

How to Convert between Fractions and Repeating Decimals. To convert a fraction to a decimal, divide the numerator (top number) by the denominator (bottom number), using either calculator or pencil and paper. For example, here’s how to convert the fraction. To convert a decimal to a fraction, begin by placing that decimal over the number 1. May 14,  · This video looks at how to convert fractions to decimals when the decimals recur, such as 1/3 = If you want to know how to convert basic fractions.

A recurring decimal exists when decimal numbers repeat forever. Dot notation is used with recurring decimals. How is the number 0. Divide 5 by 6. Because the remainder is 2 again, the digit 3 is going how to convert fractions to recurring decimals recur:. Algebra can be used to convert recurring decimals into fractions. If we multiply this number by 10 it will give a different number with the same digit recurring. So if:. Notice that after the decimal points the recurring digits match up.

So subtracting these equations gives:. Dividing both sides by 9 gives:. When 2 digits recur, multiply by so that the recurring digits how to make a princess belle dress the decimal point keep the same place value.

Similarly, when 3 digits recur multiply by and so on. First, write the recurring decimal as a long number. Use a few iterations it doesn't matter exactly how many are used. If we multiply this number by it will give a different number with the same digits recurring. Dividing both sides by 99 gives:. Subtracting these equations gives:.

Multiplying both sides by 10 gives:. Converting recurring decimals - Higher A recurring decimal exists when decimal numbers repeat forever. Example How is the number 0. Reveal answer up.

Aug 17,  · This video provides two examples of how to convert a fraction to a repeating lovedatme.comte Video Library: lovedatme.com Convert \ (\frac {5} {6}\) to a recurring decimal. Divide 5 by 6. 5 divided by 6 is 0, remainder 5, so carry the 5 to the tenths column. 50 divided by 6 is 8, remainder 2. Fractions Worksheet -- Converting Fractions to Terminating and Repeating Decimals Author: lovedatme.com -- Free Math Worksheets Subject: Fractions Keywords: math, fractions, converting, decimals, terminating, repeating Created Date: 10/21/ PM.

Look down the decimal column until you find 0. Please link to this page! Just right click on the above image, choose copy link address, then past it in your HTML. While every effort is made to ensure the accuracy of the information provided on this website, neither this website nor its authors are responsible for any errors or omissions, or for the results obtained from the use of this information.

Cool Conversion. Use our fraction to decimal calculator to convert any fraction to a decimal and to know if it is a terminating or a recurring repeating decimal.

Fraction to Decimal Decimal to Fration. To convert from inch to millimeter multiply inch value by To convert from millimeter inch divide millimeter value by An easier way to do it is to use the table below. You will find Example 2 Convert 0. Practical fraction to decimal inches and millimeter conversion chart. Fraction to Decimal Calculator Please link to this page!

Disclaimer While every effort is made to ensure the accuracy of the information provided on this website, neither this website nor its authors are responsible for any errors or omissions, or for the results obtained from the use of this information. Enter a fraction value: Ex.

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