Concepcion Hale
2022-01-17
Answered

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

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Gerald Lopez

Answered 2022-01-18
Author has **29** answers

The algorythm is given in the explanation.

Explanation:

The fractions you wrote in the questions are not repeating. You probably meant fractions like$1.\left(27\right)\text{}\text{or}\text{}0.\left(6\right)$

If you want to sugest that a decimal fraction has a period, you have to put it (the period) in brackets. Other way of indicating a period may be a horizontal bar over the period as suggested in the previous answer. 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

Explanation:

The fractions you wrote in the questions are not repeating. You probably meant fractions like

If you want to sugest that a decimal fraction has a period, you have to put it (the period) in brackets. Other way of indicating a period may be a horizontal bar over the period as suggested in the previous answer. So you can write the repeating fraction as:

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

mauricio0815sh

Answered 2022-01-19
Author has **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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