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

what is empirical and moleculer formula?.
what is the definition of the term "public assistance"?
Evaluate (x y)0 for x = 4 and y = 3. 0 1 2 7
in china, to which social class did merchants, government officials, landlords, and confucian scholars belong?
¿cómo se dice "to turn in" en español? (3 points)hablar entregar estudiar dibujar
Which of these words conveys a negative connotation? a. consider b. explain c. discuss d. dispute
The is the center of the solar system.
in 1804, the 12th amendment changed the way the united states
Which one of these items is a nonrenewable resource? a. plant b. tree c. gasoline d. fish
why did Beowulf go to heorot