Sheliajones38 Sheliajones38
  • 04-09-2019
  • Mathematics
contestada

How do you c
onvert the decimal expansion 0.1777... into a rational number. (simplify)

Respuesta :

Traviswhartsock
Traviswhartsock Traviswhartsock
  • 04-09-2019

Answer:

Step-by-step explanation:

converting a repeating decimal to ratio of integers

Hi,

This is 0.1+0.077777=110+7100+71000+... where you have a GP to sum.

Or Let x=0.0777.. so that 10x=0.777.. .

Subtracting gives 9x=0.7 and so x=790 . Now just add 110+790 and simplify.

Answer Link

Otras preguntas

Blocks numbered 0 through 9 are placed in a box, and a block is randomly picked. The probability of picking an odd prime number is... A. 3/10 B. 1/5 C. 1/3 D
Job security is an example of maslow's safety needs (2pts) true false
what is 6,000×43=? please tell me, I really need help with this one
What was the reason for the meeting between Lee and Grant at McLean House in Appomattox
I need help hopefully the picture uploaded is it a b c or d
use prime factorization to find the gcf of 24,48
In a drama script, camera directions are provided in order to?
Which of the following would affect an employee’s net pay? a. Opting out of their employer’s dental insurance plan and putting the money saved into their emplo
Which sentence is the correctly written simple sentence? A. Yellowstone is beautiful in spring and Yosemite is beautiful in summer. B. Spring and summe
Select the phrase in this excerpt that provides a context clue about the meaning of the word vacated. she realized that pine grove did not have any open, public