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

Question

asked Mar 5, 2020 99.6k views

1 Answer

Tony Eastwood · Answer 1 · 2020-03-11T03:37:07+0000

Answer:

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)