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

Hello people ~factorise : 5x²+16x+3​
Need help with system of equation 3 variable.
PLS HELP FAST THIS IS DUE NOW Dalia is painting her room. After painting 1/10 of her room, Dalia has used 1/2 of a can of paint. Select all of the true statemen
PLEASE HURRY I NEED THIS NOW!!! Who was second in command to the local kings and managed the city-state courts in the Azte
Find the mean median mode and range for the following data 77 60 59 70 89 95
HELP SOLVE THANK YOU!
Model trains fascinate everyone—both children and adults. Agree Disagree Explain why you voted the way you did.
Do you think the benefits outweigh the risks for using nuclear energy? If not, why not? If so, explain.
The San Andreas Fault is a classic example of which type of fault? reverse (thrust) fault normal fault transform (strike-slip) fault vertical fault
An earthworm lives and reproduces in the soil.co Through its feeding, excretion, and tunneling activities, the worm adds nutrients and allows air to enter the s