State whether the following rational number has a terminating decimal expansion or not. If it has a terminating decimal expansion,find it: $\frac{15}{1600}$

(N/A) To determine if the rational number $\frac{15}{1600}$ has a terminating decimal expansion,we first simplify the fraction.
$\frac{15}{1600} = \frac{3}{320}$.
The denominator is $320 = 32 \times 10 = 2^5 \times 2 \times 5 = 2^6 \times 5^1$.
Since the denominator is of the form $2^n \times 5^m$,where $n=6$ and $m=1$ are non-negative integers,the rational number has a terminating decimal expansion.
To find the decimal expansion,we write $\frac{3}{2^6 \times 5^1} = \frac{3 \times 5^5}{2^6 \times 5^6} = \frac{3 \times 3125}{10^6} = \frac{9375}{1000000} = 0.009375$.