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Question
Express the following decimal in the form `p/q`: `0.bar621`
Solution
Let `x=0.bar621`
⇒ x = 0.621621621...
⇒ 1000x = 621.621621...
⇒ 1000x = 621 + 0.621621...
⇒ 1000x = 621 + x
⇒ 1000x - x = 621
⇒ 999x = 621
⇒ x = 621/999 = 207/333
⇒ x = 23/37
Hence, `0.bar621=23/37`
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