According to the given data we have the following expression to solve:
- 1/2 + 3 1/2
To solve this expression we would have to make the following calculations:
First we would multiply 3 times 1/2
![3\cdot(1)/(2)=(3\cdot\:1)/(1\cdot\:2)](https://img.qammunity.org/2023/formulas/mathematics/high-school/quruumth84okpa1w45fk1cr57mzwiw3nq5.png)
So, we would get:
![-(1)/(2)+(3)/(2)](https://img.qammunity.org/2023/formulas/mathematics/high-school/n5keoz8xyl8bpcs8ffv1ddxwz1zge4i3l6.png)
![\text{Next, }\mathrm{Apply\: the\: fraction\: rule}\colon\quad (a)/(c)+(b)/(c)=(a+b)/(c)](https://img.qammunity.org/2023/formulas/mathematics/high-school/a8dfxt6k4eojssq8apmes0524gv01pp9ps.png)
![So,\text{ }-(1)/(2)+(3)/(2)=(-1+3)/(2)](https://img.qammunity.org/2023/formulas/mathematics/high-school/9ad3o7txt7idgwtd73y8j1u0f3mekfouuc.png)
![\mathrm{Add\: the\: numbers\colon}\: -1+3=2](https://img.qammunity.org/2023/formulas/mathematics/high-school/hrvcgtjvvm3271umnv75zuha7r1ca4pt6q.png)
So, Finally we would get the fraction 2/2 that would be equal to 1.
Therefore, - 1/2 + 3 1/2=1