Answer:
[tex]\large\boxed{5\dfrac{17}{18}-2\dfrac{2}{3}=3\dfrac{5}{18}}[/tex]
Step-by-step explanation:
[tex]5\dfrac{17}{18}-2\dfrac{2}{3}\\\\\text{Find the common denominator.}\\\\18=6\cdot3\\\\\text{Therefore the common denominator is 18.}\\\\\dfrac{2}{3}=\dfrac{2\cdot6}{3\cdot6}=\dfrac{12}{18}\\\\5\dfrac{17}{18}-2\dfrac{2}{3}=5\dfrac{17}{18}-2\dfrac{12}{18}=(5-2)+\dfrac{17-12}{18}=3\dfrac{5}{18}[/tex]