0.1111111111..... change in the form of p/q
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Answer:
Let x = 0.111... (1)
10x = 1.111...(2)
by (2) - (1), we get
10x - x = 1.111.. - 0.111..
9x = 1
x = 1/9
Step-by-step explanation:
Answered by
8
Let x = 0.111... ---(1)
Multiply both sides of the equations with 10, we get
10x = 1.111... -- (2)
Subtract equation (2) from (1)
10x - x = 1.111... - 0.111...
9x = 1
x = 1/9 , which is in the form of p/q
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