Answer:
The number to add is 5
Step-by-step explanation:
Let
x ----> the number to add
we have that
[tex]-2\frac{1}{2} +x=2\frac{1}{2}[/tex]
Convert mixed number to an improper fraction
[tex]2\frac{1}{2}=\frac{2*2+1}{2}=\frac{5}{2}[/tex]
substitute
[tex]-\frac{5}{2} +x=\frac{5}{2}[/tex]
Solve for x
Adds 5/2 both sides
[tex]x=\frac{5}{2}+\frac{5}{2}[/tex]
[tex]x=\frac{10}{2}[/tex]
[tex]x=5[/tex]
