Answer:
![-(10)/(12)](https://img.qammunity.org/2022/formulas/mathematics/college/57bu2jw224olq1qv89lajdxl7robbe1vex.png)
Explanation:
First things first when adding or subtracting fractions you need to have a common denominator. In order to have a common denominator we need to find a common factor.
![(15)/(4) +(-4 (1)/(3))=](https://img.qammunity.org/2022/formulas/mathematics/college/5yic9q8nhk2nrzy6tu9kzpinbzby9v1544.png)
![(45)/(12) +(-4(4)/(12) )](https://img.qammunity.org/2022/formulas/mathematics/college/3yiv467my39b8u7qbqaofluz3of6gfbqpp.png)
When "adding" a negative and a positive you will actually subtract. So you are basically just subtracting here.
![(45)/(12) +(-4(4)/(12) )=](https://img.qammunity.org/2022/formulas/mathematics/college/5k2rayjxh8kqyvavmy8boqxr081nsryqx5.png)
![(45)/(12) -4(4)/(12)](https://img.qammunity.org/2022/formulas/mathematics/college/p9ntydxrii6o0ua0f6htbpa0tp3m16395z.png)
Lets first convert our mixed number into an improper fraction.
![(45)/(12) -4(4)/(12)=](https://img.qammunity.org/2022/formulas/mathematics/college/8ieuuvaxi6xgzn251qsg2drqibjwarn47a.png)
![(45)/(12) -(52)/(12)](https://img.qammunity.org/2022/formulas/mathematics/college/60g72vfqkcxdatd1wczaow5cutrvw9whou.png)
Now just subtract.
![(45)/(12) -(52)/(12)=](https://img.qammunity.org/2022/formulas/mathematics/college/z5nf2fy2qzpkr8b4lj5nmntp4ywszec0nt.png)
![-(10)/(12)](https://img.qammunity.org/2022/formulas/mathematics/college/57bu2jw224olq1qv89lajdxl7robbe1vex.png)
Good luck! You got this!
I can explain in more detail if you want! Just let me know!