Solution:
Given:
[tex]17\frac{5}{14}-18[/tex]To solve the expression, we convert the mixed number to an improper fraction and find the lowest common denominator (LCD) of both fractions.
The LCD is 14.
[tex]\begin{gathered} 17\frac{5}{14}-18=\frac{243}{14}-\frac{18}{1} \\ =\frac{243-252}{14} \\ =\frac{-9}{14} \end{gathered}[/tex]Therefore, the answer is;
[tex]\frac{-9}{14}[/tex]