How would you convert a repeating decimal like 1.27 or 0.6 into a fraction?

Question

Gerald Lopez · Accepted Answer

The algorythm is given in the explanation.
Your written fractions in the questions don't repeat. Most likely, you meant fractions like $1 . (27) or 0 . (6)$
It must be enclosed in brackets if you want to imply that a decimal fraction has a period. A horizontal bar placed over the period, as suggested in the previous response, is another possible method of indicating a period. So you can write the repeating fraction as: $1 . (27) or 1 . \overset{―}{27}$
To show how such decimals can be changed into a fraction lets

mauricio0815sh · Accepted Answer

The examples in your question are not examples of repeating decimals. A repeating decimal is one in which the same number is repeated infinitely. An example would be 0.666..., also written as

0 . \overset{―}{6} or 0.0909 \dots

also written as

0 . \overset{―}{09}

.

1.27 = 1 \frac{27}{100}

0.6 = \frac{6}{10} = \frac{3}{5}

How would you convert a repeating decimal like 1.27 or

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