We are given the following rational numbers to add
[tex]-\frac{7}{13}+\frac{6}{5}[/tex]Step 1:
We need to make the denominator the same
The LCM of 13 and 5 is 65
[tex]-\frac{7}{13}+\frac{6}{5}=\frac{-5\cdot7}{65}+\frac{13\cdot6}{65}=\frac{-35}{65}+\frac{78}{65}[/tex]Step 2:
Since the denominators are the same, simply add the numerators
[tex]\frac{-35}{65}+\frac{78}{65}=\frac{-35+78}{65}[/tex]Step 3:
Simplify to the lowest terms
[tex]\frac{-35+78}{65}=\frac{43}{65}[/tex]Therefore, the simplified answer is 43/65
