Question

Simplify: Negative two and one-third minus negative ten and one-sixth(20 points)

Negative twelve and one-half -12 1/2 Twelve and one-half 12 1/3 Seven and five-sixths 7 5/6 Negative seven and five-sixths -7 5/6

Answer 1

Given:

The expression is

`-2(1)/(3)-\left(-10(1)/(6)\right)`

To find:

The value of the expression.

Solution:

We have,

`-2(1)/(3)-\left(-10(1)/(6)\right)=-2(1)/(3)+10(1)/(6)`

Convert the mixed fraction in improper fraction.

`=-(2* 3+1)/(3)+(10* 6+1)/(6)`

`=-(6+1)/(3)+(60+1)/(6)`

`=-(7)/(3)+(61)/(6)`

Taking LCM, we get

`=(-2(7)+61)/(6)`

`=(-14+61)/(6)`

`=(42)/(6)`

Convert it into mixed fraction.

`=(6(7)+5)/(6)`

`=7(5)/(6)`

Therefore, the correct option is C.