Question

$23.\overline{43}$ when expressed in the form $\frac{p}{q}$(p, q are integers q ≠ 0), is

(a) $\frac{2320}{99}$

(b) $\frac{2343}{100}$

(c) $\frac{2343}{999}$

(d) $\frac{2320}{199}$

Answer 1

Given that

Now we have to express this number into the form of
Let

$$\begin{gathered} x=23.43 \\ x=23+0.4343... \\ x=23+\frac{43}{99} \\ x=\frac{2277+43}{99}=\frac{2320}{99} \end{gathered}$$

The correct option is