Show me an example of a fraction which has a recurring decimal equivalent with two different digits repeating?

You can also "create" an own fraction.

For example, if you want to find the fraction to 0.121212121212...

Call 0,121212121212... for x

100x=12,1212121212...

100x-x=12

99x=12

x=12/99

Hope you can use this!

12/99

 

$${\frac{{\mathtt{12}}}{{\mathtt{99}}}} = {\frac{{\mathtt{4}}}{{\mathtt{33}}}} = {\mathtt{0.121\: \!212\: \!121\: \!212\: \!121\: \!2}}$$......

 

13/99

$${\frac{{\mathtt{13}}}{{\mathtt{99}}}} = {\mathtt{0.131\: \!313\: \!131\: \!313\: \!131\: \!3}}$$.....

 

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