danielhivrenko
danielhivrenko danielhivrenko
  • 11-09-2019
  • Mathematics
contestada

Convert 5.764764764... to a rational expression in the form of a over b where b ≠ 0.

Respuesta :

gmany
gmany gmany
  • 11-09-2019

Answer:

[tex]\large\boxed{5.764764764...=\dfrac{5,759}{999}}[/tex]

Step-by-step explanation:

[tex]\text{Let}\\\\x=5.764764764...\qquad\text{multiply both sides by 1,000}\\\\1,000x=5,764.764764764...\qquad\text{make the difference}\ 1,000x-x:\\\\1,000x-x=5,764.764764764...-5.764764764...\qquad\text{cancel}\ (\overline{764})\\\\999x=5,759\qquad\text{divide both sides by 999}\\\\x=\dfrac{5,759}{999}[/tex]

Answer Link

Otras preguntas

Solve for x: 5(x + 1) − 8 = 5x(2 − 4) A) −5 B) −1/5 C) 5 D) 1/5
Raina has been selected to serve on a jury. She has heard all about the case on the news and is excited to be involved in such a big court case. She thinks she
How were the first tango musical groups composed?
What is the largest temperature variation during the day?
Japanese Americans lived primarily in what two states? Arizona California New York Hawaii
A model is built to a scale of 1 ft:87ft. If a model airplane is 3 feet long,how many feet long is the actual plane?
Which development occurred during the Neolithic revolution
given the equations 9x plus 3/4y =6 and 2x+1/2y=9 by what factor would you multiply the second equation to eliminate y and solve the system through linear combi
30 tens equals how many hundreds
What is the result of converting 81 inches to feet remember there are 12 inches in a foot?