Write down the decimal expansion of the rational number $\frac{23}{2^{3} 5^{2}}$.

(N/A) To find the decimal expansion of the rational number $\frac{23}{2^{3} 5^{2}}$,we first simplify the denominator:
$\frac{23}{2^{3} \times 5^{2}} = \frac{23}{8 \times 25} = \frac{23}{200}$
Now,we perform the division of $23$ by $200$:
$23 \div 200 = 0.115$
Alternatively,we can make the powers of $2$ and $5$ equal:
$\frac{23}{2^{3} \times 5^{2}} = \frac{23 \times 5}{2^{3} \times 5^{2} \times 5} = \frac{115}{2^{3} \times 5^{3}} = \frac{115}{(2 \times 5)^{3}} = \frac{115}{10^{3}} = \frac{115}{1000} = 0.115$