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.
An explanation of how to change a repeating decimal to a fraction without a calculator. Three different examples are included.