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Express Each of the Following as a Rational Number in Its Simplest Form: (I`) 0.Bar (8)` - Mathematics

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Express each of the following as a rational number in its simplest form: 

(i`) 0.bar (8)` 

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Solution

Let x = `bar(0.8)`
∴ x = 0.888                …(1)
10x = 8.888                          …(2)
On subtracting equation (1) from (2), we get
9x = 8 ⇒ x =` 8/9`
∴0.8 =`bar(8)/9`

Concept: Euclid’s Division Lemma
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