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Rufina [12.5K]
3 years ago
15

What is 0.11111111111 as a fraction

Mathematics
2 answers:
Hitman42 [59]3 years ago
8 0

Answer: 1/9

Step-by-step explanation:

Luden [163]3 years ago
3 0
So 1000x = 111.111... (2) 

<span>Subtracting (2) and (1) gives: </span>

<span>1000x - x = 111.111... - 0.111... </span>
<span>==> 999x = 111 </span>
<span>==> x = 111/999 </span>
<span>==> x = 1/9 </span>

<span>Therefore, 0.111... = 1/9. </span>

<span>I hope that helps!</span>
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