Question
Download Solution PDF\(0.0\overline {18} = ?\) ही पदावली योग्य करा.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFगणना:
समजा x = 0.0181818 ....
⇒ 10x = 0.1818.... ---- समीकरण (1)
⇒ 1000x = 18.1818.... ---- समीकरण (2)
आता, समीकरण (2) - समीकरण (1)
⇒ 1000x - 10x = 18.1818... - 0.1818...
⇒ 990x = 18
⇒ x = 18/990
⇒ x = 1/55
∴ \(0.0\overline {18} \) चे अपूर्णांक 1/55 आहे
Shortcut Trick
\(0.\overline {ab} = ab/99\)
⇒
⇒ 2/110 = 1/55
∴ \(0.0\overline {18} \) चे अपूर्णांक 1/55 आहे
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