Question

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

Answer 1

`2(1)/(9)`

Explanation:

We want to simplify

`(-(7)/(6) )^(2) -3((1)/(12) -(1)/(3))`

Expand the parenthesis to get:

`(-(7)/(6) )^(2) -3*(1)/(12) +3*(1)/(3)`

`(49)/(36)  -(1)/(4) +1`

The LCD is 36

We express each term with denominator of 36

`(49)/(36)  -(9)/(36) +(36)/(36)`

Simplify

`(49-9+36)/(36)`

`(76)/(36)`

`(19)/(9)=2(1)/(9)`