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Question
Express the following decimal expression into rational number
`17. 2bar(15)`
Solution
Let x = 17.2151515………. ..........(1)
10x = 172.151515……… ........(2)
100x = 17215.1515…….. ........(3)
(3) – (2)
⇒ 1000x – 10x
= 17215.1515……….. (−)
17215.1515……..
990x = 17043
x = `17043/990`
or
`5681/330`
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