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Express the following in the form p/q, where p and q are integers and q ≠ 0. 0.6¯ - Mathematics

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Sum

Express the following in the form p/q, where p and q are integers and q ≠ 0.

`0.bar6`

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Solution

Let x = 0.666 ....................(1)

∴10x = 6.666 ......................(2)

(2) - (1)

⇒9x = 6

`x = 6/9 = 2/3`

Concept: Real Numbers and Their Decimal Expansions
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APPEARS IN

NCERT Class 9 Maths
Chapter 1 Number Systems
Exercise 1.3 | Q 3. (i) | Page 14

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