Question

Show that 0.6666....can be expressed in the form of p/q, where p and q are integers and q is not equal to 0.. ​

Answer 1

Answer:

0.66666.... = 0. 6bar

Let 0. 6  be x

x = 0. 6bar ----1

Multiplying both sides by 10

10x = 6. 6bar ------2

Subtracting 1 from 2

10x-x = 6. 6bar - 0. 6bar

9x = 6

x = 6/9

x = 2/3

Answer 2

Answer:

Answer = 6/9 = 2/3

Step-by-step explanation:

To show:-

0.6666... in form of p/q

SOLUTION:-

Let x = 0.6666... (I)

or, 10x = 10 * 0.6666...

or, 10x = 6.6666... (ll)

On subtracting equation l from ll

=> 10x - x = 6.6666... - 0.6666...

or, 9x = 6

or, x = 6/9 = 2/3

So, 0.6666.... = 2/3

HOPE IT HELPS