# Express Each of the Following as a Rational Number in Its Simplest Form: (I) 0. Bar (24) - Mathematics

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

(i) 0. bar (24)

#### Solution

Let x =  0. bar (24)
∴ x = 0.2424                …(1)
100x = 24.2424                        …(2)

On subtracting equation (1) from (2), we get
99x = 24 ⇒ x = 8/33
∴0.24 = bar(8)/33

Concept: Euclid’s Division Lemma
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