We will take the common denominator and add the fractions.
The common denominator is the multiplication of the two denominators.
9 x 8 = 72
Now, multiplying the numerators with respective values, we find the answer. The process is shown below:
![\begin{gathered} -(4)/(9)+(-5)/(8) \\ =(-4(8)-5(9))/(72) \\ =(-32-45)/(72) \\ =-(77)/(72) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/q56w484umvh36s84cngsgydc56eyhu9zmj.png)
The answer is:
![-(77)/(72)](https://img.qammunity.org/2023/formulas/mathematics/college/o6umzg07b5syr6x1ou35c3vck5wj7r7etk.png)