Question

Can someone help me with this problem?

Answer 1

First, simplify the signs:


`= - (1)/(2) + (2)/(3) - 1(1)/(6)`

Now change the mixed numeral into a fraction:


`= - (1)/(2) + (2)/(3) - (7)/(6)`

Now change all fractions to the common denominator, 6:


`= - (3)/(6) + (4)/(6) - (7)/(6)`

Now combine the fractions together:

[tex]= -\frac{6}{6}

-1

Answer 2

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