hertoy34 hertoy34
  • 17-06-2020
  • Mathematics
contestada

Convert 11.42424242 … to a rational expression in the form of a over b, where b ≠ 0.

Respuesta :

LammettHash
LammettHash LammettHash
  • 17-06-2020

Let x = 0.424242... . Then 100x = 42.424242... . So we can write

100x - x = 99x = 42.424242... - 0.424242... = 42

which means

x = 42/99 = 14/33

and so

11.424242... = 11 + 14/33 = 377/33

Answer Link

Otras preguntas

What role did the press play in rallying America support for a war in Cuba?
how do you make a circuit so 1 switch will turn on/off all the lights(3 lights) and a second switch will change the lights from all being the same brightness to
How does technology affect the unemployment rate?
what is a fleet of warships called
What are some solutions for Ukraine considering current situation?
What are the three main functions of the nervous system give an explain of each
which is the best estimate for the weight of a stapler
what are 4 biotic facts about the tundra??
Sian bought a TV in the January sales which had been reduced by 20%.
Find the slope, if it exists, I the line containing the pair of points. (-8,-2) and (-11,-6)