Question

Show that 0.3333.....=0.3 can be expressed in the form p/q,where put and q are integer and q ≠0.​

Answer 1

Step-by-step explanation:

0.333....

Let x be 0.333.....

and Let 10x be 10 X 0.333...... = 3.33

10 x - x = 3.33 - 0.33

=3

9x = 3

x = 3/9 =1/3!

1/3 is a rational number which is in p/q form where p and q are integers(co primes) and q is not equal to 0.so it can be the answer.

please mark as brainlist answer.

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