Question

Find the arithmetic mean of $\frac{1}{2},\frac{1}{3},2n$ and $m$.

• A. $\frac{5+12n+6m}{24}$
• B. $\frac{5+8n+4m}{24}$
• C. $\frac{5+2n+m}{4}$
• D. $\frac{5+12n+6m}{6}$
• E. $\frac{5+2n+m}{12}$

Answer 1

The correct option is A $\frac{5+12n+6m}{24}$

The arithmetic mean of $\frac{1}{2},\frac{1}{3},2n,m$ is

$\frac{\frac{1}{2}+\frac{1}{3}+2n+m}{4}$

$=\frac{\frac{5}{6}+2n+m}{4}$

$=\frac{5+12n+6m}{24}$