Question
Download Solution PDF\(0.0\overline {18} \) का सही समीकरण क्या होगा?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFगणना:
मान लीजिये x = 0.0181818....
⇒ 10x = 0.1818.... ----समी (1)
⇒ 1000x = 18.1818.... ----समी (2)
अब, समी (2) - समी (1)
⇒ 1000x - 10x = 18.1818... - 0.1818...
⇒ 990x = 18
⇒ x = 18/990
⇒ x = 1/55
∴ \(0.0\overline {18} \) का भिन्न 1/55 है।
त्वरित विधि
\(0.\overline {ab} = ab/99\)
⇒ \(0.0\overline {18} = 18/990\)
⇒ 2/110 = 1/55
∴ \(0.0\overline {18} \) का भिन्न 1/55 है।
Last updated on Jul 19, 2025
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