Question

Can someone help me with this?

Answer 1

Answer:

  1/18

Step-by-step explanation:

First of all, it works well to consolidate the minus signs:

  $=-\dfrac{1}{2}+\dfrac{5}{9}$

We can multiply the first fraction by 9/9 and the second one by 2/2 so they have a common denominator.

  $=-\dfrac{1}{2}\cdot\dfrac{9}{9}+\dfrac{5}{9}\cdot\dfrac{2}{2}=\dfrac{(-1)(9)+(5)(2)}{(2)(9)}\\\\=\boxed{\dfrac{1}{18}}$