Question:
23. $\overline{43}$ when expressed in the form $\frac{p}{q}(p, q$ are integers $q \neq 0)$, is
(a) $\frac{2320}{99}$
(b) $\frac{2343}{100}$
(c) $\frac{2343}{999}$
(d) $\frac{2320}{199}$
Solution:
Given that $23 . \overline{43}$
Now we have to express this number into the form of $\frac{p}{q}$
Let
$x=23.43$
$x=23+0.4343 \ldots$
$x=23+\frac{43}{99}$
$x=\frac{2277+43}{99}=\frac{2320}{99}$
$\Rightarrow 23 . \overline{43}=\frac{2320}{99}$
The correct option is
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