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 sentence has no errors in the use of quotation marks or italics? A. In 1968, two years before the Apollo 13 mission, Jim Lovell was one of the first men
The graph below represents which of the following functions?
The total number of fungal spores can be found using an infinite geometric series where a1 = 10 and the common ratio is 3. Find the sum of this infinite series
Write the ratio as a fraction in simplest form. 30 : 48
Which type of nuclear waste can be disposed of in a landfill?
What are four forms of nationalism? cultural ethnic intellectual religious economic political
Under the direction of trumpeter thad jones and drummer mel lewis, the appropriately name _________________________ . the performed frequently at the village va
A number s is subtracted from 7. When the result is divided by 3, the quotient is 2. What is the number?
What was the primary motive behind president Franklin D Roosevelt's 1937 proposal to add members to the Supreme court?
geometry question PLS HELP!!!!!!!!111