Question

Which of following is p/q form of 0.66666.......... where p and q are integers q is not equal to zero?​

Answer 1

Answer:

2/3

Step-by-step explanation:

x=0.66666.....

10x=6.666.....

10x - x=6.666.. - 0.6666...

9x=6

x=6/9

 =2/3

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Answer 2

Hello, Good Morning...Here's your Answer -

Solution:

Let x = 0.666666..... - Eq. 1

Since the Repeating Block of Digits is only 1, i.e, 6, we multiply x by 10.

Therefore, 10x = 6.666666....Eq. 2

Subtracting Eq. 1 From Eq. 2, we get -

= 10x [6.666666....] - x [0.666666....]

= 9x [6.000000....]

= 9x = 6, Therefore,

x = 6/9 = 2/3.

x = 2/3 is in the Simplest Form.

= 0.666666.... = 2/3.

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