Question
Download Solution PDFव्यंजक X = 0.456666....को भिन्न के रूप में ज्ञात कीजिए?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFx = 0.45666666……. ...i)
समीकरण (i) में 100 से गुणा करने पर
100x = 45 + 0.666666….. ...ii)
समीकरण (i) में 1000 से गुणा करने पर
1000x = 456 + 0.666666……. ...iii)
समीकरण (ii) को समीकरण (iii) से घटाने पर
900x = 411
∴ x = 411/900
Alternate Method X = 0.456666.... = \(0.45\overline{6} \)
⇒ X = \(0.45\overline{6} \) = \(\dfrac{456-45}{900}\) = \(\dfrac{411}{900}\)
∴ X = \(\dfrac{411}{900}\)
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