Repeating Decimals
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Lesson Summary:
In this lesson on repeating decimals, viewers learn how to convert a repeating decimal into a fraction. The process involves setting the repeating decimal equal to x and then multiplying it by 10 to the power of the number of repeating digits. After subtracting x from the product, you can solve for x, which will be in the form of a fraction. The lesson includes examples such as 0.3 repeating and 0.9 repeating, and the transcript demonstrates how to convert a six-digit repeating decimal into a fraction. However, the method only works for decimals that have a repeating pattern of the same digits.
Lesson Description:
An explanation of how to change a repeating decimal to a fraction without a calculator. Three different examples are included.
Additional Resources:
- Lesson Slides - Slides that are written on from the lesson.
- Decimal to Fraction Conversion - An explanation of how to convert all kinds of decimals into fractions.
Questions answered by this video:
- How do you change a repeating decimal into a fraction?
- What is .428571 repeating as a fraction?
- Does .9 repeating equal 1?
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Staff Review
If you have ever wondered how to change a repeating decimal into a fraction, this is the video you want to watch. Explained clearly and slowly, with every step laid out nicely, but without any resources. -
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