Concepcion Hale

2022-01-17

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

Gerald Lopez

Beginner2022-01-18Added 29 answers

The algorythm is given in the explanation.

Your written fractions in the questions don't repeat. Most likely, you meant fractions like$1.\left(27\right)\text{}\text{or}\text{}0.\left(6\right)$

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: $1.\left(27\right)\text{}\text{or}\text{}1.\stackrel{\u2015}{27}$

To show how such decimals can be changed into a fraction lets

mauricio0815sh

Beginner2022-01-19Added 34 answers

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 $0.\stackrel{\u2015}{6}\text{}\text{or}\text{}0.0909\dots$ also written as $0.\stackrel{\u2015}{09}$ .

$1.27=1\frac{27}{100}$

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

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