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Question
Express each of the following as a rational number in its simplest form:
(i) `2. bar (24)`
Solution
Let x = ` bar (2.24)`
∴ x = 2.2444 …(1)
10x = 22.444 …(2)
100x = 224.444 …(3)
On subtracting equation (2) from (3), we get
90x = 202 ⇒ x =` 202/90 = 101/45`
∴ `bar (2.24) = 101/45`
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