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Express the Following Decimal in the Form `P/Q`: `0.Bar4` - Mathematics

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Question

Express the following decimal in the form `p/q`: `0.bar4`

Solution

Let `x=0.bar4`

⇒ x = 0.44444....

⇒ 10x = 4.444....

⇒ 10x = 4 + x

⇒ 9x = 4

⇒ x = 4/9

Hence, `0.bar4=4/9`

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

 RD Sharma Solution for Mathematics for Class 9 (2018 (Latest))
Chapter 1: Number Systems
Ex. 1.3 | Q: 2.1 | Page no. 22
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Express the Following Decimal in the Form `P/Q`: `0.Bar4` Concept: Introduction of Real Number.
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