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

By selling a mobile for Rs.30, 000, Shankar gains 5%. Find the CP of the mobile.​
Given that BD is the perpendicular bisector of AC , set up the equation needed to solve for x and find the value of x
1 mole of alkene CxH2x was fully burnt in oxygen. The products were analysed. 264g of Co2 and 108g of of H20 were produced. Use the information to balance the e
The somatotype system classifies the human body into how many categories?
Write down the name of the solid shape that is being described. "When you cut me in half, the number of faces on one of my halves is double the number of faces
Log5 =0,699 find log 0,5
8 and 1/3divided by 3 and 4/7
A parallelogram is cut out of a 12-inch by 8-inch sheet of paper. There are four right triangle remnants. Two have the dimensions 2 inches by 9 inches, and the
How did the peace constitution of 1946 change Shintoism
An image of a car with height of 14 cm occurred in the mirror which is located at a T-intersection. If the car height is 140 cm and the radius of the curvature