# The value of 0.23¯¯¯¯ + 0.22¯¯¯¯ is

Question:

The value of $0.23+0.22$ is

(a) $0 . \overline{45}$

(b) $0 . \overline{43}$

(c) $0 . \overline{45}$

(d) $0.45$

Solution:

Given that $0 . \overline{23}+0 . \overline{22}$

Let $x=0 . \overline{23}+0 . \overline{22}$

Now we have to find the value of $x$

$\Rightarrow x=0 . \overline{23}+0 . \overline{22}$

$\Rightarrow x=\frac{23}{99}+\frac{22}{99}$

$\Rightarrow x=\frac{23+22}{99}$

$\Rightarrow x=\frac{45}{99}$

$\Rightarrow x=\frac{5}{11}$

$0 . \overline{23}+\overline{0.22}=0 . \overline{45}$

The correct option is