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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

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