Represent 0.462462… in a rational form. [3 MARKS]

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Solution

Concept : 1 Mark
Calculation : 2 Marks

$L e t x = 0. ¯ ¯¯¯¯¯¯ ¯ 462$ ...(equation 1)

$1000 x = 462. ¯ ¯¯¯¯¯¯ ¯ 462$ ...(equation 2)

$H e n c e, 999 x = 462$ (On subtracting equation 1 from equation 2)

$x = \frac{462}{999}$

$x = \frac{154}{333}$

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