Respuesta :
Answer:
[tex]\frac{a}{6}+3[/tex]
Step-by-step explanation:
We have been given an expression and we are asked to simplify our given expression.
[tex]\frac{3}{2} -\frac{1}{2}a+ \frac{2}{3} a+\frac{3}{2}[/tex]
First of all let us combine like terms.
[tex](\frac{2}{3} -\frac{1}{2})a+(\frac{3}{2}+\frac{3}{2})[/tex]
Now let us have a common denominator for the constant terms of a.
[tex](\frac{2*2}{3*2} -\frac{1*3}{2*3})a+(\frac{3}{2}+\frac{3}{2})[/tex]
[tex](\frac{4}{6} -\frac{3}{6})a+(\frac{3}{2}+\frac{3}{2})[/tex]
Now let us simplify the numerators.
[tex](\frac{4-3}{6})a+(\frac{3+3}{2})[/tex]
[tex](\frac{1}{6})a+(\frac{6}{2})[/tex]
Let us divide 6 by 2.
[tex]\frac{1}{6}a+3[/tex]
[tex]\frac{a}{6}+3[/tex]
Therefore, our expression simplifies to [tex]\frac{a}{6}+3[/tex].
