Question

How do you solve `\frac { 3n } { 2} = \frac { 7} { 9}`?

Answer 1

`n=14/27`

Explanation:

Cross multiply both sides.

`(3n)/2=7/9`

`:.27n=14`

`n=14/27`

Our final answer will be

`n=14/27`

Answer 2

`n=14/27`

Explanation:

`"multiply both sides by the "color(blue)"lowest common multiple"`
`"of 2 and 9 which is 18"`

`cancel(18)^9xx(3n)/cancel(2)^1=cancel(18)^2xx7/cancel(9)^1`

`rArr9xx3n=2xx7`

`rArr27n=14`

`"divide both sides by 27"`

`(cancel(27) n)/cancel(27)=14/27`

`rArrn=14/27`

`color(blue)"As a check"`

Substitute this value into the left side of the equation and if equal to the right side then it is the solution.

`(3xx14/27)/2=(14/9)/2=14/9xx1/2=7/9`

`rArrn=14/27" is the solution"`