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    Who invented the strategy for converting repeating decimals to fractions?

    Math Problems
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    • The Blade DancerT
      The Blade Dancer M0★ M1★ M2★ M3★ M4 M5
      last edited by debbie

      The method of converting repeating decimals to fractions is quite well-known once you're around 7th or 8th grade, so I won't repeat it here, as it is also quite lengthy.

      My question is, who invented the strategy for doing so? My Internet searches have been unsuccessful, and I thought maybe you guys would know since it's math-related.

      The Blade Dancer
      League of Legends, Valorant: Harlem Charades (#NA1)
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      • N
        nastya MOD M0 M1 M2 M3 M4 M5
        last edited by debbie

        Hi @The-Darkin-Blade!

        The method of converting repeating decimals to fractions is just one of the algebraic methods of working with rational fractions. It is just an algorithm that tells us what to do. It is the same as the method of solving equations, inequalities or changing fractions to a reduced form. Honestly, there is not only one algorithm of converting repeating decimals to fractions - there are lots of them. Some of them are harder and require some background, some of them are easier and do not require any prior knowledge.

        So, once again, it's just an algorithm. For example, mathematicians use the method of moving a decimal point not just for converting repeating decimals to fractions, but also in many other cases. 🙂

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