Question

Express 0.666666666...... in from of p/q

Answer 1

Answer:

p/q form of 0.6666..... is 2/3.

Step-by-step explanation:

Let's

x = 0.66666....(1)

Here the decimal place is repeating one time. So, Multiple 10 on both sides

10x = 0.66666..... × 10

10x = 6.66666........(2)

Now Subtract (1) from (2)

10x = 6.6666....

x = 0.6666.....

________________

9x = 6.000

x = 6/9

x = 2/3 => p/q.