The student is incorrectly applying the fundamentals laws of fractions because the theorem is only true for products
Here, we want to correct a calculation error by a student
The calculation error is;
![(m+n)/(p+n)\text{ = }(m)/(p)](https://img.qammunity.org/2023/formulas/mathematics/college/k91x0cq22db3n2786gvdukt246ucyxa55e.png)
This is mathematically incorrect and we want to state why it is
If the evaluation was as follows;
![(m* n)/(p* n)\text{ = }(m)/(p)](https://img.qammunity.org/2023/formulas/mathematics/college/nis15qe735ti38b5gqt6a3dt3nv7u0h1oz.png)
This would have been correct
The reason it is wrong is that it can only work for a product for the same value for each of the numerator and denominator
The answer is thus;
The student is incorrectly applying the fundamentals laws of fractions because the theorem is only true for products