5/6n=10 (5)/(?) 5/6n=10

Question

5/6n=10

`(5)/(?)`
5/6n=10

Answer 1

`\bf \cfrac{5}{6}n=10\implies \cfrac{5n}{6}=10\implies \stackrel{\textit{cross-multiplying}}{5n=60}\implies n=\cfrac{60}{5}\implies n=12`

Answer 2

For this case we must clear the value of "n" from the given equation.

Sea
`\frac {5} {6} n = 10`

We multiply by 6 on both sides of the equation:

`\frac {5 * 6} {6} n = 10 * 6\\\frac {30} {6} n = 60\\5n = 10 * 6\\5n = 60`

We divide between 5 on both sides of the equation:

`\frac {5n} {5} = \frac {60} {5}\\n = 12`

Answer:

`n = 12`