Question

If a=1/3b and b=1/2c then a:b:c=?

Answer 1

a/b=1/3

=>a:b=1:3_______(1)

b/c=1/2

=>b:c=1:2________(2)

(2)×3

a:b=1:3;

b:c=3:6

a:b:c=1:3:6

Answer 2

Answer:

$a:b:c=1:3:6$

Step-by-step explanation:

Given : $a=\frac{1}{3}b$ and $b=\frac{1}{2}c$

To find : The value of a:b:c ?

Solution :

$a=\frac{1}{3}b$

$\frac{a}{b}=\frac{1}{3}$

i.e. $a:b=1:3$

$b=\frac{1}{2}c$

$\frac{b}{c}=\frac{1}{2}$

i.e. $b:c=1:2$

Multiply numerator and denominator by 3,

$b:c=3:6$

Now, $a:b:c=a:b::b:c$

$a:b:c=1:3::3:6$

i.e. $a:b:c=1:3:6$