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In Mathematics / Middle School | 2014-11-18

What is the fraction form of 1.024242424...?

Asked by Shanester

Answer (2)

That mixed decimal is equal to 1,024,242,424/1,000,000,000 . (You may certainly reduce it to lower terms if you like.) / / / If you had said that the '24' repeats forever and never ends, then it would have been 338/330 . (You're free to simplify that one too.)

Answered by AL2006 | 2024-06-10

The repeating decimal 1.024242424... can be converted to a fraction in the form 165 169 ​ . This process involves setting the decimal equal to a variable, multiplying to eliminate the repeat, and solving for that variable. The final fraction is simplified for clarity.
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Answered by AL2006 | 2024-12-26

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