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Question
Express the following decimal in the form `p/q`: `0.bar37`
Solution
Let `x=0.bar37`
⇒ x = 0.373737...
⇒ 100x = 37.3737...
⇒ 100x = 37 + 0.3737...
⇒ 100x = 37 + x
⇒ 100x - x = 37
⇒ 99x = 37
⇒ x = 37/99
Hence, `0.bar37=37/99`
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