Answer
$ 0.3125$
Work Step by Step
If we can write a fraction so that its denominator is one of 10,100, 1000,...,
we can easily write it as a decimal number
The denominator is $16$, and $\quad 16=2\cdot 2\cdot 2\cdot 2$,
so, if we multiply each of the factors with a 5, we would get that
$16\cdot 5\cdot 5\cdot 5\cdot 5=10\cdot 10\cdot 10\cdot 10=10,000,$
Using the fact that $16\cdot 625=10,000,$
$\displaystyle \frac{5}{16}=\frac{5\cdot 625}{16\cdot 625}=\frac{3125}{10,000 }$
We write this as a decimal number with four digits after the decimal point:
$= 0.3125$
