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

A writer may use all of the following techniques to lead the reader to a flashback EXCEPT: a. a memory b. a detailed explanation c. a confession d. a clue about
when h has the value 4, calculate 5h - 3? Urgent help needed!!!!!!!
The proteins in the cell membrane allow substances to come or go, based on their concentrations. This is an important part of _________________, which maintains
how much sleep dose a jaguar get in 1 year
How the combination of electrons, protons ans neutrons results in the neutral charge of an atom?
what are the pros and cons of the stamp act ?
In what ways is Islam a way of life as well as a set of beliefs? (five sentences)
Explain why the conversion ratios used between the SI and imperial systems are not nice, round numbers like those used to convert within either system.
(5y^4-3y^3+2y^2-6y+5)+(-3y^+6y^3-4y^2-4y-8) can someone simplify that
Wind direction is determined by the Earth’s rotation. true or false?