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Question
Express the following in the form `p/q`, where p and q are integers and q ≠ 0:
0.888...
Solution
Let x = 0.888........ ...(i)
On multiplying both sides of equation (i) by 10, we get
10x = 8.888....... ...(ii)
On subtracting equation (i) from equation (ii), we get
10x – x = (8.88) – (0.888)
⇒ 9x = 8
∴ `x = 8/9`
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