Answer:
1/18
Step-by-step explanation:
First of all, it works well to consolidate the minus signs:
[tex]=-\dfrac{1}{2}+\dfrac{5}{9}[/tex]
We can multiply the first fraction by 9/9 and the second one by 2/2 so they have a common denominator.
[tex]=-\dfrac{1}{2}\cdot\dfrac{9}{9}+\dfrac{5}{9}\cdot\dfrac{2}{2}=\dfrac{(-1)(9)+(5)(2)}{(2)(9)}\\\\=\boxed{\dfrac{1}{18}}[/tex]
