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

1 Answer
Apr 3, 2017

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.