How to convert 0.11111...(recuring decimal) into fraction
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Answered by
8
Let its fractional form be x.
x = 0.1111.... [1]
Multiplying 10 on both sides as there is only on repeating no.
10x = 1.1111.. [2]
Subtracting [1] from [2]
10x - x = 1.1111... - 0.1111...
9x = 1
So, x = 1/9
x = 0.1111.... [1]
Multiplying 10 on both sides as there is only on repeating no.
10x = 1.1111.. [2]
Subtracting [1] from [2]
10x - x = 1.1111... - 0.1111...
9x = 1
So, x = 1/9
Answered by
1
1/9 is the answer to the question:)
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