# Easy shortcut for converting a repeating fraction to a decimal.

Converting a repeating decimal to a fraction can be a little tricky.

I have created two videos that show two different methods for converting the repeating fraction to a fraction.

**It will be helpful if you also watch the videos as I work on several examples.**

The first method involves generating a numerator and a denominator.

First, we will generate the numerator.

If you only have repeating numbers like .222 you write the repeating number as your numerator.

If you have a mixed recurring decimal like .16666, subtract the

If you have a mixed recurring decimal like .16666, subtract the

the non-repeating number from the non-repeating number combined with the repeating number.

**Notice the 1 does not repeat like the 6.**

In this example, the non-repeating number and the repeating number equals 16 minus the non-repeating number which is 1.

16-1 =15

The denominator rules are as follows, for non-repeating numbers a 0, and add a 9 for repeating numbers.

In this example .16666 add a 0 for the non-repeating 1 and a 9 for the repeating 6 which equals 90.

**Therefore you get the fraction 15/90**

Once you write the fraction you then reduce.

15/90 = 1/6

The video works the following example problems.

Convert .333 to a fraction

Convert .666 to a fraction

Convert .1818

The video works the following example problems.

Convert .333 to a fraction

Convert .666 to a fraction

Convert .1818

Convert .4166

Convert .2518

Convert .70643889889.

This shortcut works on all repeating fractions.

An

**alternate method for converting**the repeating decimal to a fraction is to set the repeating fraction equal to xAfter creating the original video and reading the comments I researched an alternate method. Now you have two ways to convert the repeating decimal to a fraction and you can decide which method you like best.

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