Question

show that 0.3 bar can be expressed in the form p/q , whose p and q are integers q is not 0

Answer 1

Let x=0.3bar ---eq1
Multiplying eq 1 by 10
That is
10x=3.3bar
Now subtract eq 1 from eq 2
10x-x=3.3bar-0.3bar{.3bar will be cancelled by each other}
Now
9x=3
X=3/9
X=1/3

Answer 2

Answer:

Given: 0.3 bar.

So, let us assume variable (a) as 0.3 bar.

⇢a = 0.3333...

⇢10a = 10 × (0.333...) = 3.333...

⇢3.333... = 3 + a

⇢a = 0.333...

⇢10a = 3 + a

⇢9a = 3

⇢a = 1/3