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

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.

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.