Question

How do you solve `n= \frac { 1} { 4} m q` for `m`?

Answer 1

See the solution process below:

Explanation:

First, multiply each side of the equation by `color(red)(4)` to eliminate the fraction from the side of the equation with `m` while keeping the equation balanced:

`color(red)(4) xx n = color(red)(4) xx 1/4mq`

`4n = cancel(color(red)(4)) xx 1/color(red)(cancel(color(black)(4)))mq`

`4n = mq`

Now, divide each side of the equation by `color(red)(q)` to solve for `m` while keeping the equation balanced:

`(4n)/color(red)(q) = (mq)/color(red)(q)`

`(4n)/q = (mcolor(red)(cancel(color(black)(q))))/cancel(color(red)(q))`

`(4n)/q = m`

`m = (4n)/q`

Answer 2

`m=(4n)/q`

Explanation:

`n=1/4mq` => multiply both sides by `4`:

`4n=mq` => divide both sides by `q`:

`(4n)/q=m` => if you wish can be rewritten as:

`m=(4n)/q`