Question

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

• A. $\frac{2320}{99}$
• B. $\frac{2343}{100}$
• C. $\frac{2343}{999}$
• D. $\frac{2320}{199}$

Answer 1

The correct option is A

$\frac{2320}{99}$

23.$\overline{43}$

Let x = 23.$\overline{43}$ = 23.434343.....

$\Rightarrow$ 100x = 2343.434343.....

Subtracting,

99x = 2320 $\Rightarrow$ x = $\frac{2320}{99}$