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3 years ago

10

How to simplify 0.111111111 repeating as a fraction

2 answers:

antiseptic1488 [7]3 years ago

6 0

Any numerical repeating pattern can be rationalized...let x=0.111 then:

10x=1.111 and upon taking differences:

10x-x=1.111-0.111

9x=1 then divide both sides by 9

x=1/9

(This method works for converting any repeating numerical pattern to a rational number)

arlik [135]3 years ago

5 0

Depending on how many times it repeats, and I used 9 1's from your question, the answer would be 1/9.

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