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

Is the relation a function? If so why or why not? (-3,2) (-1,0) (1,0) (5,-2)
What is u equal to u=?
a roller coaster travels 3/4 of a mile in 40 seconds .what is the average speed in miles per hour​
Which of the following is the graphed below
Use the distributive property to write each expression as an equivalent expression 6x(3x+5y-4)
Graph y = sin(x) on the graphing calculator. Use the graph to determine the height of the barnacle with respect to water level as the boat has traveled the give
write the equation of the line in standard form that passes through the origin and is parallel to x + y equals 6​
how do i know what business i am suited for
In this excerpt from “ A Bird Song” by Christina Georgina Rossetti, which three lines contain internal rhyme?
what info is needed for SAS? ​