Repeating Decimal to Fraction Lesson

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In this section, we learn how to convert a repeating decimal into a fraction. A repeating decimal is one that repeats the same digit or series of digits
forever. We generally identify these by placing a bar over the digit or digits that repeat forever. To perform this operation, we first set our repeating
decimal equal to a variable. Next, we multiply both sides of the equation by 10^{n} where n is the number of digits in the repeating string.
The next step subtracts the original equation from the transformed equation. We then clear the decimal that remains by multiplying by the appropriate power
of ten. Our last step is to solve for x and check the result. We can do this by dividing our numerator by our denominator. We should get the original
repeating decimal as our result.

Repeating Decimal to Fraction Resources:

Videos:

Khan Academy - Video
Khan Academy - Video
Virtual Nerd - Video
Text Lessons:

Basic Mathematics - Text Lesson
Varsity Tutors - Text Lesson
Dummies - Text Lesson
Worksheets:

Math-Drills - Worksheet
Khan Academy - Practice
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