Question

Represent 0.123333… in a rational form. [3 MARKS]

Answer 1

Concept : 1 Mark
Calculation : 2 Marks

$Letx=0.12\overline{3}$
$1000x=123.\overline{3}$ ...(equation 1)
$100x=12.\overline{3}$ ...(equation 2)

$Hence,900x=111$ (On subtracting equation 2 from equation 1)

$x=\frac{111}{900}$
$x=\frac{37}{300}$