Respuesta :

[tex]2\frac{5}{2}-2\frac{3}{2}=[/tex]

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

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