Answer:
[tex]2\frac{1}{9}[/tex]
Step-by-step explanation:
We want to simplify
[tex](-\frac{7}{6} )^{2} -3(\frac{1}{12} -\frac{1}{3})[/tex]
Expand the parenthesis to get:
[tex](-\frac{7}{6} )^{2} -3*\frac{1}{12} +3*\frac{1}{3}[/tex]
[tex]\frac{49}{36} -\frac{1}{4} +1[/tex]
The LCD is 36
We express each term with denominator of 36
[tex]\frac{49}{36} -\frac{9}{36} +\frac{36}{36}[/tex]
Simplify
[tex]\frac{49-9+36}{36}[/tex]
[tex]\frac{76}{36}[/tex]
[tex]\frac{19}{9}=2\frac{1}{9}[/tex]
