To get our solution, first simplify the equation:
[tex]- \frac{1}{6} +(- \frac{3}{7} )[/tex]
=>[tex]- \frac{1}{6} - \frac{3}{7} [/tex]
Now, find a common denominator, which would be 42.
[tex]- \frac{7}{42} - \frac{18}{42} [/tex]
Since we now have a common denominator, we can straight up add the numerators:
[tex]- \frac{25}{42} [/tex]
The answer to this problem would be -25/42. Hope this helps and have a great day!