Question

How do you solve `12/x+3/4=3/2`?

Answer 1

`x = 16`

Explanation:

Generally when solving a problem like this one I choose to multiply all terms by a common denominator. In this case the common denominator is `4x`.
`(4x)( 12/x +3/4 = 3/2)`

`48 +3x = 6x`

`48 = 3x`

`16 = x`

There is another approach to solving this problem, and that is to subtract `3/4` from each side of the equation first.
`12/x + 3/4 - 3/4 = 3/2 -3/4`

`12/x = 6/4 -3/4`

`12/x = 3/4`

Now this is a simple ratio which can be solved by cross multiplying.

`48 = 3x`

`16 = x`