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Question
Express the following in the form `p/q`, where p and q are integers and q ≠ 0:
0.2555...
Solution
Let x = 0.2555....... ...(i)
On multiplying both sides of equation (i) by 10, we get
10x = 2.555........ ...(ii)
On multiplying both sides of equation (ii) by 10, we get
100x = 25.55.........
On subtracting equation (ii) from equation (iii), we get
100x – 10x = 25.55... – (2.555...)
⇒ 90x = 23
∴ `x = 23/90`
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