The answer depends on what string is repeating. It is not clear from the question whether the recurring fraction is meant to be 0.262626... or 0.266666...
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0.026026... = 26/999 which cannot be simplified.
0.78 repeating as a fraction = 78/99
What is 1.49 repeating (9 is repeating)
0.54 repeating as a fraction = 54/99 or 6/11
If you mean: 0.181818.....18 repeating then as a fraction it is 2/11