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

10 ejemplos de sinalefa
Green chemical found in many plants
True or false? for any two nonzero integers, the product and quotient have the same sign.
Which phrase correctly orders –34, 15, –23, and 2? a. 2 < 15 < –34 < –23 b. –34 < –23 < 15 < 2 c. 2 < 15 < –23 < –34 d. –34 < –23
What is one reason why Thomas Paine says that the time for independence is now? a. Because the British have vulnerable islands b. Because the British are distra
9y-36=-15x in Slope intercept form
Should fitness professionals recommend the total elimination of fat from the diet? A. No, but it's recommended that fat intake be limited to 30 percent of dail
what is ocean water?
What kind of scholar studies objects left behind by humans?
i am a product. one of my fiactors is 7. the sum of my factors equals 11. what number am i?