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lizawr
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Asked: 2022-04-11T19:04:23+00:00 In:

How do you convert 0.13 (13 repeating) to a fraction?

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How do you convert 0.13 (13 repeating) to a fraction?

♦ Relevant knowledge
In mathematics, a term like fraction is a reference to a small or part of a larger thing or a set of items. It is typically described as the ratio of two numbers separated by an a solidus (/) or vinculum (_).

Fractions can be classified into various types based on their denominator and numerator. The different kinds include:

  • Unit Fraction: Unit fractions are number whose its numerator is one.
  • Proper Fraction: A properly fraction is a fraction where the numerator is smaller than denominator.
  • Improper fractions: An improper one is one which has a numerator that is greater that the numerator.
  • Mixed Fraction: It is also known as Mixed Numbers. It is created when a complete number is combined with the proper fraction. Also the term “mixed fraction” refers to the result of mixing a whole number and an appropriate fraction.

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  1. Best Answer

    Explanation:

    First note:

    In case you haven’t, draw a bar over a series of digits to indicate that the sequence of digits continues, so we can write:

    Multiply by (100-1) to get an integer:

    Then divide both ends by (100-1), simplify:

    Why (100-1)?

    Multiplier 100 The number is moved two places to the left. This will change the length of the repeating patterns. Subtracting the original pattern will cancel out the repeating tail.

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