Given:
[tex]-\frac{6}{7}+\frac{1}{2}[/tex]The least common multiple of 7 and 2 is 14, so making the denominator 12as follows.
[tex]-\frac{6}{7}+\frac{1}{2}=\frac{-6\times2}{7\times2}+\frac{1\times7}{2\times7}[/tex][tex]=\frac{-12}{14}+\frac{7}{14}[/tex][tex]=\frac{-12+7}{14}[/tex][tex]=\frac{-5}{14}[/tex]Hence the answer is
[tex]\frac{-5}{14}[/tex]