How would you convert a repeating decimal like 1.27 or 0.6 into a fraction?
2 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
The algorythm is given in the explanation.
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 let's look closer at the decimals. Let's take
Since
So now you can write, that