Converting Repeating Decimals into Fractions: Proving Rationality

The video tutorial explains how to convert repeating decimals into fractions, proving they are rational numbers. It begins by defining rational numbers and questioning the rationality of repeating decimals. The tutorial then introduces a method for converting repeating decimals into fractions by placing the repetend over a series of 9s. Examples such as 0.8 repeating, 0.12 repeating, and 0.328 repeating are used to demonstrate the conversion process, confirming their rationality.

Why is it important to check if the fraction you derived from a repeating decimal is correct?

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Convert 0.12 repeating into a fraction and simplify it.

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What is the fraction equivalent of 0.328 repeating?

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