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

¿cuáles son los personajes del libro el perseguidor? clasificalos en personajes principales, secundarios, etc. y describelos
what is 10 3/8 divided by 3/8 estimated?
The words scientist and atomists both contain the suffix –ist. Based on this information, what with the suffix –ist MOST LILELY mean? A. One who is wise.
what is the union of the two sets A= (2,3,6,11,16) and B=(6,11)
A compound verb consists of a plural verb associated with two different subjects True or False?
Benim arkadaşlarım var/what does it mean
5.432 g significant figures
using the square root property and the principle root, we can take the square root of both sides to get
What is the purpose of the moon?
How many stars are in the Milky Way?