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GalinKa [24]
3 years ago
6

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

Mathematics
1 answer:
german3 years ago
8 0

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.

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Step-by-step explanation:

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