Question

show that 0.3 333 is equal to 0.3 bars can be expressed in the form there. Q where p and q are integers and q is not equal to zero

Answer 1

➡HERE IS YOUR ANSWER⬇

Let, x = 0.3333333...

Then, 10x = 3.3333333...

Now,

10x - x = 3.333333... - 0.3333333...

or, 9x = 3

or, x = 1/3

So, the required rational number is = 1/3.

⬆HOPE THIS HELPS YOU⬅

Answer 2

Answer:

a = 1/3

Step-by-step explanation:

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