This is the fraction equivalent of 0.321 0708. Sheet Layout > title Instructions Number of Problems. Select Worksheet pages Worksheet Answer Key language. Each worksheet has 10 problems converting a repeating decimal to a fraction. As such, we divide the numerator and denominator by 3 to produce the following: Converting Repeating Decimals to Fractions. For instance, both 32103000 can be divided by 3. Step 5: Reduce the fraction generated in Step 4. Step 4: Sum the two fractions generated in Step 2 and 3 respectively (as per the rules for adding fractions, make sure you give them a common denominator). Next, divide this fraction by the power of 10 applied in Step 2. For instance, as 0708 consists of four numbers, it is represented as 0708/9999. Step 3: Record the repetend over as many nines as there are numbers in that repetend (again, including any zeros). For instance, as 321 consists of three numbers, we represent the fraction as 321/1000. Step 2: Record the non-repeating part of the decimal over a power of 10 that incorporates as many zeros as there are numbers in the non-repeating part of the decimal (including any zeros). As such, you should separate 321 from 0708. The bar is positioned above the non-repeating part of the decimal. Write the repeated figure or figures only once in the numerator without decimal point and take as many nines in the denominator as is the number of repeating. For instance, let's say you wanted to convert the following to a fraction: Step 1: Separate the non-repeating part of the decimal from the repeating part. Express the recurring decimal as a fraction. Convert the recurring decimal to a fraction. However, if you want to make life a little easier, use our decimal to fraction conversion calculator instead. RECURRING DECIMALS INTO FRACTIONS Materials required for examination Items included with question papers Ruler graduated in centimetres and Nil millimetres, protractor, compasses. You can revert a decimal to its original fraction by following the steps described below. However, it is common to encounter a repeating decimal in practical math when you convert fractions to percentages or decimals, and this reduces the accuracy of the calculation. You may wish to convert a fraction to a decimal to make adding and subtracting quantities more straightforward. The bar depicted above is presented above the repeating element of the numerical string. When a fraction is represented as a decimal, it can take the form of a terminating decimal for example: Hit the Calculate button to get the fraction. Enter the non-recurring part (optional) in the given input box. 12, 45, 34 etc) Enter a recurring number in the next input box. Input the integer number in the given box (Ex. This gives you the following: = Subtract the equation from step 1 from the equation in step = 7.How to Convert Repeating Decimals to Fractions Follow these steps to use recurring decimals to fractions calculator for the conversion of non-terminating decimals. To move the decimal to the right of the 7, you need to multiply by 10. Begin by writing = the repeating = Multiply both sides of the equation by a power of 10 which will move the decimal to the right of the repeating number. The table below shows the conversion from decimal to fractions. Subtract the equation from step 1 from the equation in step 2.ฤก. Fractions having the same denominator, usually have similar solutions when converted to decimal.
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