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What is 0.1 repeating as a fraction?

What is 0.1 repeating as a fraction?
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2 votes
What is 0.1 repeating as a fraction?

User Inv
by
7.5k points

2 Answers

2 votes

x=0.\overline{1}\\10x=1.\overline{1}\\ 10x-x=1.\overline{1}-0.\overline{1}\\ 9x=1\\ x=(1)/(9)
User Gourlaysama
by
8.1k points
5 votes
10x=1.1...
x=0.1...
Then subtract the two equations from each other:
9x=1
Solve for x:
x=1/9
User Kit Sunde
by
7.9k points
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