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0 . 3 ¯ 2 When Expressed in the Form P Q (P, Q Are Integers Q ≠ 0), is - Mathematics

MCQ

\[0 . 3 \bar{2}\] when expressed in the form \[\frac{p}{q}\] (p, q are integers q ≠ 0), is

Options

  • \[\frac{8}{25}\]

  • \[\frac{29}{90}\]

  • \[\frac{32}{99}\]

  • \[\frac{32}{199}\]

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Solution

Given that `0.3overline2`

Now we have to express this number into `p/q`form

Let X = \[0 . 3 \bar{2}\]

`10 x = 3+ 0.2222`

`⇒10x = 3 +2/9`

`⇒10x = 29/9`

`⇒ x = 29/90`

  Is there an error in this question or solution?
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APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 1 Number Systems
Q 15 | Page 41
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