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Let n = 0.0123456789 recurring 1010n = 123456789.0123456789 recurring 1010n - n = 123456789 9999999999n = 123456789 n = 123456789/9999999999 = 0.0123456789 recurring Therefore the recurring decimal 0.0123456789 expressed as a fraction is 123456789/9999999999. Check it out on your calculator.

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Q: If a dot is placed above each of the digits in the decimal 0.0123456789 to indicate a recurring decimal can you express this as a fraction detailing all your working?
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