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

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Answer 1 · 2017-04-03T04:02:19

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

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#.