Question

Show that 0.3333... =0.3 bar can be expressed in the form p/q, where p and q are integers and q not = 0​

Answer 1

Answer:

1/3

Step-by-step explanation:

10x-x=3.3333333...-0.333...

9x=3

x=3/9=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