Decimal numbers, while arguably more useful to work with when performing calculations, lack the same kind of precision that regular fractions (as they are explained in this article) have. Sometimes an infinite number of decimals is required to convey the same kind of precision. Thus, it is often useful to convert repeating decimals into fractions.

For most repeating patterns, a simple division of the pattern by the same number of nines as numbers it has will suffice. For example (the pattern is highlighted in bold):

0.555… = 5/9

0.264264264… = 264/999

0.629162916291… = 6291/9999

In case zeros precede the pattern, the nines are suffixed by the same number of zeros:

0.0555… = 5/90

0.000392392392… = 392/999000

0.00121212… = 12/9900

In case a non-repeating set of decimals precede the pattern (such as 0.1523987987987…), we must equate it as the sum of the non-repeating and repeating parts:

0.1523 + 0.0000987987987…

Then, convert both of these to fractions. Since the first part is not repeating, it is not converted according to the pattern given above:

1523/10000 + 987/9990000

We add these fractions by expressing both with a common divisor...

1521477/9990000 + 987/9990000

And add them.

1522464/9990000

Finally, we simplify it:

31718/208125

For most repeating patterns, a simple division of the pattern by the same number of nines as numbers it has will suffice. For example (the pattern is highlighted in bold):

0.555… = 5/9

0.264264264… = 264/999

0.629162916291… = 6291/9999

In case zeros precede the pattern, the nines are suffixed by the same number of zeros:

0.0555… = 5/90

0.000392392392… = 392/999000

0.00121212… = 12/9900

In case a non-repeating set of decimals precede the pattern (such as 0.1523987987987…), we must equate it as the sum of the non-repeating and repeating parts:

0.1523 + 0.0000987987987…

Then, convert both of these to fractions. Since the first part is not repeating, it is not converted according to the pattern given above:

1523/10000 + 987/9990000

We add these fractions by expressing both with a common divisor...

1521477/9990000 + 987/9990000

And add them.

1522464/9990000

Finally, we simplify it:

31718/208125

Many students find converting repeating decimals to fractions difficult. They feel overwhelmed with converting repeating decimals to fractions homework, tests and projects. And it is not always easy to find converting repeating decimals to fractions tutor who is both good and affordable. Now finding **converting repeating decimals to fractions help** is easy. For your converting repeating decimals to fractions homework, converting repeating decimals to fractions tests, converting repeating decimals to fractions projects, and converting repeating decimals to fractions tutoring needs, TuLyn is a one-stop solution. You can master hundreds of math topics by using TuLyn.

At TuLyn, we have over 2000 math video tutorial clips including**converting repeating decimals to fractions videos**, **converting repeating decimals to fractions practice word problems**, **converting repeating decimals to fractions questions and answers**, and **converting repeating decimals to fractions worksheets**.

Our**converting repeating decimals to fractions videos** replace text-based tutorials and give you better step-by-step explanations of converting repeating decimals to fractions. Watch each video repeatedly until you understand how to approach converting repeating decimals to fractions problems and how to solve them.

At TuLyn, we have over 2000 math video tutorial clips including

Our

- Hundreds of video tutorials on converting repeating decimals to fractions make it easy for you to better understand the concept.
- Hundreds of word problems on converting repeating decimals to fractions give you all the practice you need.
- Hundreds of printable worksheets on converting repeating decimals to fractions let you practice what you have learned by watching the video tutorials.

Write 2.35 as a fraction.

(5 is the only recurring number)

(5 is the only recurring number)