# How do you convert 2.136 (36 repeating) as a fraction?

Repeating decimals can be indicated with a notation that positions a bar above the repeating pattern.

The original decimal representation is written using that notation:

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To convert 2.136 (36 repeating) as a fraction:

- Let x = 2.136 (36 repeating).
- Multiply x by 100 to eliminate the decimal: 100x = 213.636363...
- Subtract x from 100x to eliminate the repeating decimal: 100x - x = 213.636363... - 2.136363... = 211.5
- Subtract the original x from the result: 100x - x = 211.5 - 2.136 = 209.364
- Now, write down the equation: 100x - x = 209.364
- Solve for x: 99x = 209.364
- Divide both sides by 99: x = 209.364 / 99
- Simplify the fraction: x = 209.364 / 99 = 209364 / 9900
- Reduce the fraction to its simplest form: x = 2327 / 1100

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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