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खालील परिमेय संख्या pq रूपात लिहा. 0⋅6∙ - Mathematics 1 - Algebra [गणित १ - बीजगणित]

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Question

खालील परिमेय संख्या `p/q` रूपात लिहा.

\[\ce{0.\overset{\bullet}{6}}\]

Sum

Solution

समजा, x = 0.666.... = \[\ce{0.\overset{\bullet}{6}}\]

∴ 10x = 6.666... = \[\ce{0.\overset{\bullet}{6}}\]

∴ 10x − x = \[\ce{6.\overset{\bullet}{6} - 0.\overset{\bullet}{6}}\]

∴ 9x = 6

∴ x = `6/9`

∴ x =`2/3` 

∴  \[\ce{0.\overset{\bullet}{6}}\] = `2/3`

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परिमेय संख्या
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Chapter 2: वास्तव संख्या - सरावसंच 2.1 [Page 21]

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Balbharati Algebra (Mathematics 1) [Marathi] 9 Standard Maharashtra State Board
Chapter 2 वास्तव संख्या
सरावसंच 2.1 | Q 3. (i) | Page 21
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