Repeating Decimals to Fractions

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What is a repeating decimal?

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A repeating decimal is a decimal fraction that eventually repeats a digit or a group of digits indefinitely.

Front

Convert the repeating decimal 0.333... to a fraction.

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Front

What is the fraction representation of 0.666...?

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How do you convert a repeating decimal to a fraction?

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1. Let x equal the repeating decimal. 2. Multiply x by a power of 10 to shift the decimal point. 3. Subtract the original equation from this new equation to eliminate the repeating part. 4. Solve for x.

Front

Convert 0.101010... to a fraction.

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Front

What is the fraction representation of 0.777...?

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Front

Convert 0.888... to a fraction.

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0.555...

Front

Convert 0.142857142857... to a fraction.

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Front

What is the fraction representation of 0.666... in simplest form?

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