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Express 0.overline(32) as a fraction in ...

Express `0.overline(32)` as a fraction in simplest form.

A

`32/99`

B

`132/199`

C

`132/999`

D

None

Text Solution

Verified by Experts

The correct Answer is:
A
Let x= `0.overline(32)`,then
x = 0.3232…
100x= 32.3232
On subtracting (i) from(ii) ,we get
`99x= 32 Rightarrow x = 32/99`
Hence , `0.overline(32) = 32/99`
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