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Express the recurring decimal 0.12512512...

Express the recurring decimal `0.125125125...=0.bar(125)` as a reatonal number.

Text Solution

Verified by Experts

The correct Answer is:
`125/999`
`x=0.125125... rArr 1000x=125.125125...`
`:. 999x=125 rArr x=125/999`.
Hence, `0.125125... = 125/999`.
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