Question

if A=1/3B and B=1/2C then A:B:C=?​

Answer 1

Step-by-step explanation:

Given : a=\frac{1}{3}ba=

3

1

b and b=\frac{1}{2}cb=

2

1

c

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

Solution :

a=\frac{1}{3}ba=

3

1

b

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

b

a

=

3

1

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

b=\frac{1}{2}cb=

2

1

c

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

c

b

=

2

1

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

Multiply numerator and denominator by 3,

b:c=3:6b:c=3:6

Now, a:b:c=a:b::b:ca:b:c=a:b::b:c

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

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

Answer 2

a= 1/3b

b=1/3*1/2*c

a/c= 1/6

a/b=1/3

so, a:b:c

=1:3:6