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HOW DO YOU WRITE A REPEATING DECIMAL AS A FRACTION?

Guest Mar 14, 2017
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Say you have the repeating decimal 0.333... repeating.

 

First let x equal the repeating decimal:

 

x=0.333...

we can now multiply this by 10 to get

10x=3.333...

now I can write 10x-x as follows

10x-x=3.333...-0.333...

Therefore

9x=3 => x=1/3

1/3 = 0.333...

 

You basically want to try arrange it so you eliminate the repeating decimal which enables you to write x as a fraction.

Guest Mar 15, 2017

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