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Express the Following Decimal in the Form `P/Q`: `0.Bar4` - CBSE Class 9 - 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`

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APPEARS IN

Solution Express the Following Decimal in the Form `P/Q`: `0.Bar4` Concept: Introduction of Real Number.
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