Question

How do you solve `\frac { 2} { 3x } - \frac { 1} { 2x } = \frac { 3} { 4}`?

Answer 1

`x = 2/9`

Explanation:

`2/(3x) - 1/(2x) = 3/4`

Let's combine these two fractions. TO do that, they need to have a common denominator

`(2x)/(2x) xx 2/(3x) - 1/(2x) xx (3x)/(3x) = 3/4`

`(4x)/(6x^2) - (3x)/(6x^2) = 3/4`

`x/(6x^2) = 3/4`

`1/(6x) = 3/4`

`6x xx 1/(6x) = 3/4 xx 6x`

`1 = (18x)/4`

`4 xx 1 = (18x)/4 xx 4`

`4 = 18x`

`x = 4/18` or `2/9`