The question cannot be answered because it is ambiguous. It is not clear whether the fraction is meant to be 1.838383... or 1.83333... .
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0.050505 repeating written as a fraction is 5/99
If the decimal is terminating or repeating then it can be written as a fraction. Decimal representations which are non-terminating and non-repeating cannot be expressed as a fraction.
If you mean: 0.151515.....repeating then as a fraction it is 5/33
It is not possible to answer the question because it is ambiguous: the answer depends on what string is repeating. It is not clear from the question whether the fraction is meant to be 0.141414... or 0.144444... .
6.66666(not repeating) is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.