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# Algebra/Algebra 2

Question
How do I solve this equation?
5x/2 + 3/4 = 9/3 the division symbols are fractions.

The best way I've found to approach problems with fraction in them
is to get rid of the fractions.

The easiest fraction to get rid of is 9/3, for 9/3 = 3.

We then have 5x/2 + 3/4 = 3.

Multiplying each term by 4 gives 4*5x/2 + 3 = 4*3.
Since 4*5/2 = 2*2*5/2 = 2*5 = 10 or 4*5/2 = 20/2 = 10, and
4*3 = 12, that is the same as
10x + 3 = 12.

Subtracting 3 from both sides gives 10x = 9.

Now that the x terms is on one side and the constant on the other,
we can divide by the multiple of x.  That is, divide both sides by 10.
That gives x = 9/10.

Putting that back into 5x/2 + 3/4 = 3 gives ...
Well, the first term 5x/2, is really (5/2)x = (5/2)(9/10).
This can be rewritten as (5/2)(9/(5*2)) = (1/2)(9/2) = 9/4.

The left side is then 9/4 + 3/4 = 12/4 = 3.
Multiplying by 3/3 gives 9/3, and that's what's on the right.

Algebra

Volunteer

#### Scott A Wilson

##### Expertise

Any algebraic question you've got. That includes question that are linear, quadratic, exponential, etc.

##### Experience

I have solved story problems, linear equations, parabolic equations. I have also solved some 3rd order equations and equations with multiple variables.

Publications
Documents at Boeing in assistance on the manufacturiing floor.

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MS at math OSU in mathematics at OSU, 1986. BS at OSU in mathematical sciences (math, statistics, computer science), 1984.

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Both my BS and MS degrees were given with honors.

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Students in a wide variety of areas since the 80's; over 1,000 of them have been in algebra.