Question

Example 7: Show that 0.3333.= 03 can be expressed in the form where p and
q are integers and q + 0.​

Answer 1

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