Writing numbers containing recurring decimals into fractions involves a few steps. These are described here using a few examples.

First, we start with…


Key to the above process is to realise 2 things

Equation 1 – the decimal part of the number ‘n’ must only have the recurring digits.

Equation 2 – The number obtained must include the recurring digits to the left of the decimal point.

this way when subtracting EQ1 from EQ2, the decimal part of the 2 numbers will cancel out, leaving you with an integer (whole) number.

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