Question

How do you solve the equation `5/2(3v-4)=30`?

Answer 1

`16/3`, or `5 1/3` as a mixed fraction.

Explanation:

Firstly, we must remove the fraction, to make it more easier to deal with. To divide by fraction, you multiply by the inverse, i.e. `x-:a/b -= x*b/a`, also `a/b -: a/b -= a/b*b/a = 1`

`3v-4=30(2)/5)=60/5=12`

Now, we add 4 to both sides to remove the extras.
`3v-4=12`
`3v-4+4=12+4`
`3v=16`

Now, to get `v` on its own, we divide both sides by 3.
`3v=16`
`(3v)/3 =16/3`
`v=16/3= 5 1/3` (mixed fraction)