## How to Convert Repeating Decimals to Fractions: 9 Steps.

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Convert a repeating decimal to a fraction with the Repeating Decimal to Fraction Converter Conduit. site. Mathematical and electrical tools, calculators, and references.

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Converting Decimals to Fractions: Part B In Part A of this lesson, we saw how to convert a terminating decimal number to a fraction. If a decimal is repeating (in other words, after a while, some pattern of digits repeats over and over), then we have to use a different strategy. Let N be the number, and let n be the number of digits in the repeating block.

Solution: Given decimal we can write as the sum of the infinite converging geometric series Notice that, when converting a purely recurring decimal less than one to fraction, write the repeating digits to the numerator, and to the denominator of the equivalent fraction write as much 9's as is the number of digits in the repeating pattern.

Here is a simple online Recurring Decimal to Fraction Calculator to convert from Repeating Decimal to Fraction. Recurring decimals are numbers which have an infinitely repeating number after the decimal point. Recurring decimals could be separated as the non-recurring part and the recurring part. The number that recurs infinitely is the recurring part. In the below Recursive Fraction Converter.

Rational numbers, when written as decimals, are either terminating or non-terminating, repeating decimals. Converting terminating decimals into fractions is straightforward: multiplying and dividing by an appropriate power of ten does the trick. For example.