Question

How do you solve `5/6 = n/24`?

Answer 1

`n=20`

Explanation:

`"multiply both sides by 24"`

`cancel(24)^4xx5/cancel(6)^1=cancel(24)xxn/cancel(24)`

`4xx5=nrArrn=20`

`20/24=5/6=" left side"larr"check"`

Answer 2

`n=20`

Explanation:

There are two ways we can go about this:

One is a more non-traditional way:

How do we get from `6` to `24`? One way is to multiply by `4`. With this in mind, since we know our fractions are equal, `n` must be equal to `5*4`, or `20`.

Here is a more systematic way:

We can use cross multiplication. If we have the equation

`(a/b)=(c/d)`, by rearranging the equation, we know `c=(ad)/b`. In essence, we multiply diagonally and divide by the first denominator.

In our example, we have

`n=(5*24)/6=>120/6=20`

Hope this helps!