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Which of the following is equivalent to ...

Which of the following is equivalent to `3.bar(6)%`?

A

`(11)/(100)`

B

`(11)/(300)`

C

`(22)/(100)`

D

`(36)/(100)`

Text Solution

Verified by Experts

The correct Answer is:
B
Let x = `3.bar(6).`
`rArr = x = 3.6666666 ..`
10x = 36.666666 …
`rArr 10x = 36.66666666 ….`
x = 3.66666666 …
`((-)" ")/(9x = 33.000)`
`rArr x = (33)/(9)`
`therefore 3.bar(6)% = (33)/(9)% = (33)/(900) = (11)/(300)`
Hence, the correct option is (b).
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