The expression
is equal to
.
To simplify the expression
, you can first convert the mixed numbers to improper fractions and then combine them:
![\begin{aligned}& -12 (1)/(2)=-(25)/(2) \\& 5 (3)/(4)=(23)/(4)\end{aligned}](https://img.qammunity.org/2021/formulas/mathematics/college/8kodsc8f5nlrek9cb36paswm8c1u0432sj.png)
Now, the expression becomes
.
To add these fractions, we need a common denominator, which is 4 in this case.
is equivalent to
![-(25)/(2) * (2)/(2)=-(50)/(4)](https://img.qammunity.org/2021/formulas/mathematics/college/z62ivdt8rzb20wh8cfsmhlw5btlpv41fn9.png)
Now the expression becomes
![-(50)/(4)+(23)/(4)](https://img.qammunity.org/2021/formulas/mathematics/college/53csaox91xb07q3gn2cq1zjiqb5e7iimqq.png)
So, the correct option is B.