Question

0.12333... can be expressed in rational form as

• A. $\frac{900}{111}$
• B. $\frac{111}{900}$
• C. $\frac{123}{10}$
• D. $\frac{121}{900}$

Answer 1

The correct option is B $\frac{111}{900}$

Let x = 0.12333....(i)
Multiplying by 10 on both sides, we get
10x = 1.2333...
Subtracting (i) from (ii), we get
$9x=1.11\Rightarrow x=\frac{111}{900}$