Question

if u:v:w=3:6:8 then what will be the ratio of u/v:v/w:w/u?​

Answer 1

Answer:  The required ratio is 1 : 4.

Step-by-step explanation:  We are given that for any three variables u, v and w :

u : v : w = 3: 6 : 8.

We are to find the following ratio :

$\dfrac{u}{v}:\dfrac{v}{w}:\dfrac{w}{u}.$

We have

$u:v=3:6\\\\\Rightarrow \dfrac{u}{v}=\dfrac{3}{6}\\\\\Rightarrow \dfrac{u}{v}=\dfrac{1}{2},$

$v:w=6:8\\\\\Rightarrow \dfrac{v}{w}=\dfrac{6}{8}\\\\\\\Rightarrow \dfrac{v}{w}=\dfrac{3}{4}$

and

$w:u=8:3\\\\\Rightarrow \dfrac{w}{u}=\dfrac{8}{3}.$

Therefore, we get

$\dfrac{u}{v}:\dfrac{v}{w}=\dfrac{1}{2}:\dfrac{3}{4}=\dfrac{1}{2}\times\dfrac{4}{3}=\dfrac{2}{3}$

and

$\dfrac{u}{v}:\dfrac{v}{w}:\dfrac{w}{u}=\dfrac{2}{3}:\dfrac{8}{3}=\dfrac{2}{3}\times\dfrac{3}{8}=\dfrac{1}{4}=1:4.$

Thus, the required ratio is 1 : 4.

Answer 2

Answer: 6:9:32

Step-by-step explanation: u:v:w=3:6:8

To find: u/v:v/w:w/u

In order to find the answer for this, we need to find a common multiple for the denominators,which can be 24.

Then we multiply each term with the same multiple so as to take out the denominator.

Therefore, u/v= 3/6 x 24= 12,

                  v/w=6/8 x 24= 18,

                  w/u=8/3 x 24= 64

i.e. 24 x 3/6: 24 x 6/8 : 24 x 8/3 = 12:18:64

                                                    =6:9:32.