Discussion Forum

If $A:B :C=2:3:4$, then $\frac{A}{B}:\frac{B}{C}:\frac{C}{A}$  is equal to :

Answer:

Explanation:

Let $A = 2x$, $B = 3x$ and $C = 4x$.

Then, $\frac{A}{B}$ $=\frac{2x}{3x}$ $=\frac{2}{3}$,

$\frac{B}{C}$  $=\frac{3x}{4x}$ =$\frac{3}{4}$ and $\frac{C}{A}$ $=\frac{4x}{2x}$ $= \frac{2}{1}$

$ \left(\frac{A}{B}\right):\left(\frac{B}{C}\right):\left(\frac{C}{A}\right)$  $=\left(\frac{2}{3}\right):\left(\frac{3}{4}\right):\left(\frac{2}{1}\right)$

$=8:9:24$