kizza1324132413 kizza1324132413
  • 02-04-2020
  • Mathematics
contestada

prove algebraically that 0.72 recurring is 8/11

Respuesta :

sallyfordam
sallyfordam sallyfordam
  • 02-04-2020

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 Link
nktselepov
nktselepov nktselepov
  • 02-04-2020

[tex]100x=72,72\\x=0,72\\\\99x=72x\\x=\frac{72}{99} \\x=\frac{8}{11}[/tex]

Answer Link

Otras preguntas

Which of the following is not a factor that contributed to African involvement in the slave trade?
55/100 in simple form
How are ocean trenches formed?
What is the difference between incomplete dominance and codominance??
Which of the following is a negative effect of algal blooms on the environment?
Consider the following absolute value equation. |5x-4| > 16. Which of the following are the solutions to the equation? Select ALL that apply. 1. -5 2. -7 3.
Pollen can be spread by wind and by animals. true false
How does a fungus acquire energy for life ?
What is the solution to |x–3|=7?
how did Warren G. Harding believe the economy should be managed