Question

How do you solve `\frac { 1} { n } = \frac { 5} { 30}`?

Answer 1

Cross-multiply and isolate for `n`. In this case, `n=6`.

Explanation:

What we can do is cross-multiply.

This implies that if `a/b=c/d` can be `ad=cb`.

So let's do that.

If...

`1/n=5/30`

... then we can do...

`1(30)=5n`

After that, we can isolate for `n`.

`30=5n`

`6=n`

As a result, `n=6`. We can double check this by subbing in the equation.

`1/n=5/30`

`1/(6)=5/30`

`0.166=0.166`

Therefore, we can conclude that `n=6`.