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Question
Express each of the following as a rational number in its simplest form:
(i) `0. bar (12)`
Solution
Let x =` 0. bar (12)`
∴ x = 0.1212 …(1)
100x = 12.1212 …(2)
On subtracting equation (1) from (2), we get
99x = 12 ⇒ x = `4/33`
∴0.12 = `bar (4)/33`
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