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Question
Express the following decimal expression into rational number
`0. bar(24)`
Solution
Let x = `0. bar(24)`
= 0.24242424……… ….(1)
(Here period of decimal is 2, multiply equation (1) by 100)
100x = 24.242424 ………. ….(2)
(2) – (1)
100x – x = 24.242424…. – 0.242424….
99x = 24
x = `24/99`
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