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Which of the following fractions is equi...

Which of the following fractions is equivalent to `2.bar(9)%`?

A

`(3)/(100)`

B

3

C

2.9

D

`(2.9)/(100)`

Text Solution

Verified by Experts

The correct Answer is:
A
`"Let" x = 2.bar(9) = 2.999999…`
10x = 29.999999…..
10x = 29.999999999…..
`(-x = 2.999999…)/(9x = 27.0000…)`
`x = (27)/(9) = 3`
`therefore 2.bar(9)% = 3% = (3)/(100)`
Hence, the correct option is (a).1
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