Question

show that 0.33333.... = 0.3 can be expressed in a form of p/q

Answer 1

yes it can be expressed in the form of p/q
(3333..../1000....)

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...

⇢10 = 3 + a

⇢9a = 3

⇢a = 1/3