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

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

(i) 0.bar (8)

#### 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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