Question

Prove algebraically that 0.72 recurring is 8/11

Answer 1

Answer:

Step-by-step explanation:

means  for repeating decimals.

0.7272727272727272727.........

divide by 100 = 0.00727272727...........

Let x = 0.727272727272727272727..........

x - (1/100) x = 0.72

(99/100)x = 0.72

99x = 72

x = 72/99 = 8/11.

Answer 2

$100x=72,72\\x=0,72\\\\99x=72x\\x=\frac{72}{99} \\x=\frac{8}{11}$