We need to convert the mixed fractions to improper fractions.
First:
[tex]2\frac{5}{2}[/tex]We multiply the integer on top and bottom by 2 ( the denominator of the fractional part)
[tex]\frac{2\cdot2}{2}=\frac{4}{2}[/tex]And now we add it to the fractional part:
[tex]\frac{4}{2}+\frac{5}{2}=\frac{9}{2}[/tex]We repeat the same process with:
[tex]2\frac{3}{2}[/tex]Multiply the integer top and bottom by the denominator of the fractional part:
[tex]\frac{2\cdot2}{2}=\frac{4}{2}[/tex]And add:
[tex]\frac{4}{2}+\frac{3}{2}=\frac{7}{2}[/tex]Now, we can do the rest:
[tex]2\frac{5}{2}-2\frac{3}{2}=\frac{9}{2}-\frac{7}{2}=\frac{9-7}{2}=\frac{2}{2}=1[/tex]The answer is 1