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The Number 1 . ¯ 27 in the Form P Q , Where P and Q Are Integers and Q ≠ 0, is - Mathematics

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MCQ

The number \[1 . \bar{{27}}\] in the form \[\frac{p}{q}\] , where p and q are integers and q ≠ 0, is

Options

  • \[\frac{14}{9}\]

  • \[\frac{14}{11}\]

  • \[\frac{14}{13}\]

  • \[\frac{14}{15}\]

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Solution

Given that  `1.overline27`

`1.overline27 = 1+27/99`

`⇒ 1.overline27 = (99+27)/99`

`⇒ 1.overline27 = 126/99 `

`⇒ 1.overline27 = (126÷9)/(99 ÷ 9)`

`⇒ 1.overline27 =14/11`

Concept: Representing Real Numbers on the Number Line
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APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 1 Number Systems
Q 13 | Page 41

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