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Question
Express each of the following as a rational number in its simplest form:
(i) `0. bar (24)`
Solution
Let x = ` 0. bar (24)`
∴ x = 0.2424 …(1)
100x = 24.2424 …(2)
On subtracting equation (1) from (2), we get
99x = 24 ⇒ x = `8/33`
∴0.24 = `bar(8)/33`
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