Question

express 0.6666666..... in p/q from where p and q are Integers and q not equal to 0​

Answer 1

Answer:

$x \: = 0.6666 ....... \: \: - - - - (1) \\ multiply \: \: eq \: \: (1) \: \: by \: 10 \\ 10x = 10 \times 0.6666....... \\ 10x = 6.6666..... - - - - (2) \\ subtract \: \: (1) \: \: from \: \: (2) \\ 10x - x = 6.6666.... - 0.6666.... \\ 9x = 6 \\ x = \frac{6}{9} \\ x = \frac{2}{3}$

I hope it will help you