Question

A:B:C=2:3:4. THEN A/B:B/C:C/A=?

Answer 1

Let the values of A,B,C be 2x , 3x , 4x respectively.
Therefore A/B= 2x/3x 
                 B/C= 3x/4x
                 C/A= 4x/2x
= 2x/3x * 4x/3x * 2x/4x
= 4/9
A/B:B/C:C/A = 4:9:1

Answer 2

Answer:

The ratio $\frac{A}{B}:\frac{B}{C}:\frac{C}{A}$ is $8:9:24$.

Step-by-step explanation:

It is given that A:B:C=2:3:4. Let A,B and C are 2x, 3x  and 4x respectively.

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

$\frac{B}{C}=\frac{3x}{4x}=\frac{3}{4}$

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

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

Make denominator common.

$\frac{A}{B}:\frac{B}{C}:\frac{C}{A}=\frac{2\times 4}{3\times 4}:\frac{3\times 3}{4\times 3}:\frac{2\times 12}{1\times 12}$

$\frac{A}{B}:\frac{B}{C}:\frac{C}{A}=\frac{8}{12}:\frac{9}{12}:\frac{24}{12}$

$\frac{A}{B}:\frac{B}{C}:\frac{C}{A}=8:9:24$

Therefore the ratio $\frac{A}{B}:\frac{B}{C}:\frac{C}{A}$ is $8:9:24$.