Friend is not correct. Instead of finding difference , the fractions are added and then simplified.
Given :
The difference of fractions
[tex]\frac{3}{2} -\frac{9}{2} =\frac{3}{2}+ \frac{9}{2} =\frac{12}{2} =6[/tex]
We are asked to find the difference between 2 fractions
[tex]\frac{3}{2} -\frac{9}{2}[/tex]
Here , the denominators are same . So we can subtract the numerators
But in the second step , the negative sign becomes positive
Instead of finding difference both the fractions are added.
So the mistake is in step 2
Both the fractions are added instead of subtraction .
Correct steps are
[tex]\frac{3}{2} -\frac{9}{2} =\frac{3-9}{2} =\frac{-6}{2} =-3[/tex]
Learn more : brainly.com/question/15547105