Question

(N/12)-(2/9)/(n/6)=? 3n-8/6n 3n-8/6 8n-3/6 Simplify

Answer 1

Answer:

3n-8/6n

Step-by-step explanation:

Given:

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

=

$\frac{\left(\frac{n}{12}-\frac{2}{9}\right)\cdot \:6}{n}\\=\frac{6\cdot \frac{3n-8}{36}}{n}\\\frac{\frac{3n-8}{6}}{n}\\\frac{3n-8}{6n}$

!

Answer 2

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