Question

Show that 0.3333 = 0.3bar only on 3 can be expressed in the form p/q where p q are integers and q not equal to zero

Answer 1

let x = 0.3bar        .........equation (i)
10 x = 3.3             .......... equation (ii)
then ,
subtract eq (i) from eq (ii)
10x-x = 3.3-0.3 
= 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