Question

Represent 0.123232323… in a rational form. [2 MARKS]

Answer 1

Concept : 1 Mark
Calculation : 1 Mark

Let $x=0.1\overline{23}$

$1000x=123.\overline{23}$ ...(equation 1)

$10x=1.\overline{23}$ ...(equation 2)

On subtracting equation 2 from equation 1 , we get

$990x=122$

$x=\frac{122}{990}$

$x=\frac{61}{495}$