Question

Can someone help me with this problem?

Answer 1

The answer is -1.

First, distribute the negative inside the parenthesis of 1/2.
Next, turn all the denominators into 6 by multiplying by 3 or 2. 

-1/2 + 2/3 + -1 1/6 
Changes to -3/6 + 4/6 - 1 1/6 

-3/6 + 4/6 = 1/6 

1/6 - 1 1/6 = -1

Answer 2

First, simplify the signs:

$= - \frac{1}{2} + \frac{2}{3} - 1\frac{1}{6}$

Now change the mixed numeral into a fraction:

$= - \frac{1}{2} + \frac{2}{3} - \frac{7}{6}$

Now change all fractions to the common denominator, 6:

$= - \frac{3}{6} + \frac{4}{6} - \frac{7}{6}$

Now combine the fractions together:

[tex]=  -\frac{6}{6}

-1