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

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Answer 1 · 2017-04-03T04:02:19

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

What we can do is cross-multiply.

This implies that if $\frac{a}{b} = \frac{c}{d}$ $a/b=c/d$ can be $a d = c b$ $ad=cb$ .

So let's do that.

If...

$\frac{1}{n} = \frac{5}{30}$ $1/n=5/30$

... then we can do...

$1 (30) = 5 n$ $1(30)=5n$

After that, we can isolate for $n$ $n$ .

$30 = 5 n$ $30=5n$

$6 = n$ $6=n$

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

$\frac{1}{n} = \frac{5}{30}$ $1/n=5/30$

$\frac{1}{6} = \frac{5}{30}$ $1/(6)=5/30$

$0.166 = 0.166$ $0.166=0.166$

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

How do you solve 1n=530\frac { 1} { n } = \frac { 5} { 30}?