Answer
$\dfrac{16+|13-5|+4^{2}}{17-5}=\dfrac{10}{3}$
Work Step by Step
$\dfrac{16+|13-5|+4^{2}}{17-5}$
Perform the operation inside absolute value bars and evaluate the exponential expression in the numerator:
$\dfrac{16+|13-5|+4^{2}}{17-5}=\dfrac{16+8+16}{17-5}=...$
Now, just evaluate the sums and substractions present in the numerator and the denominator. Simplify at the end if possible:
$...=\dfrac{40}{12}=\dfrac{10}{3}$