Question

(N/12)-(2/9)/(n/6)=?

3n-8/6n
3n-8/6
8n-3/6
Simplify

Answer 1

`\bf \cfrac{(n)/(12)-(2)/(9)}{(n)/(6)}\implies \cfrac{\stackrel{\textit{using an LCD of 36}}{((3)n-(4)2)/(36)}}{(n)/(6)}\implies \cfrac{(3n-8)/(36)}{(n)/(6)}\implies \cfrac{3n-8}{\underset{6}{~~\begin{matrix} 36 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}\cdot \cfrac{~~\begin{matrix} 6 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{n}\implies \cfrac{3n-8}{6n}`

Answer 2

3n-8/6n

Explanation:

Given:

(n/12 - 2/9) / (n/6)

=

`(\left((n)/(12)-(2)/(9)\right)\cdot \:6)/(n)\\=(6\cdot (3n-8)/(36))/(n)\\((3n-8)/(6))/(n)\\(3n-8)/(6n)`

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