-- Take one complete set of the repeated digits in the decimal.
Treat those digits as the numerator of a fraction.
-- The denominator of the fraction is a string of nines (99...) ...
just as many as there are digits in the numerator.
-- Reduce the fraction to lower terms (simplify) if it's possible
and you feel like it.
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It is a repeating decimal.
The latter which would be an irrational number that cannot be expressed as a fraction.
Any rational number is either a repeating decimal, or a terminating decimal.
No, the sum of a repeating decimal and a terminating decimal is never a terminating decimal.
A terminating decimal is a decimal that ends. A repeating decimal is a decimal that goes on and on.