The answer depends on which string is repeating. That is, is the number meant to be0.878787... or 0.877777... ?
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87/100
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