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.

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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

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