Represent 0.344444… in a rational form. [2 MARKS]

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Solution

Concept : 1 Mark
Calculation : 1 Mark

$L e t x = 0.3 ¯ 4$ .

$Hence 100 x = 34. ¯ 4$ ...(equation 1)

$10 x = 3. ¯ 4$ ...(equation 2)

$S o, 90 x = 31$ ( On subtracting equation 2 from equation 1)

$x = \frac{31}{90}$ .

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