Question

(-\frac{7}{6} )^{2} -3(\frac{1}{12} -\frac{1}{3} )

Answer 1

Answer:

$2\frac{1}{9}$

Step-by-step explanation:

We want to simplify

$(-\frac{7}{6} )^{2} -3(\frac{1}{12} -\frac{1}{3})$

Expand the parenthesis to get:

$(-\frac{7}{6} )^{2} -3*\frac{1}{12} +3*\frac{1}{3}$

$\frac{49}{36} -\frac{1}{4} +1$

The LCD is 36

We express each term with denominator of 36

$\frac{49}{36} -\frac{9}{36} +\frac{36}{36}$

Simplify

$\frac{49-9+36}{36}$

$\frac{76}{36}$

$\frac{19}{9}=2\frac{1}{9}$