Question

Simplify the expressions. 3/2 − 1/2 a+ 2/3 a+ 3/2

Answer 1

Answer:

$\frac{a}{6}+3$

Step-by-step explanation:

We have been given an expression and we are asked to simplify our given expression.

$\frac{3}{2} -\frac{1}{2}a+ \frac{2}{3} a+\frac{3}{2}$

First of all let us combine like terms.

$(\frac{2}{3} -\frac{1}{2})a+(\frac{3}{2}+\frac{3}{2})$

Now let us have a common denominator for the constant terms of a.

$(\frac{2*2}{3*2} -\frac{1*3}{2*3})a+(\frac{3}{2}+\frac{3}{2})$

$(\frac{4}{6} -\frac{3}{6})a+(\frac{3}{2}+\frac{3}{2})$

Now let us simplify the numerators.

$(\frac{4-3}{6})a+(\frac{3+3}{2})$

$(\frac{1}{6})a+(\frac{6}{2})$

Let us divide 6 by 2.

$\frac{1}{6}a+3$

$\frac{a}{6}+3$

Therefore, our expression simplifies to $\frac{a}{6}+3$.