SOLUTION: A computer virus is eating disk space. During the first day it eats 1/2 of the disk.During the second day, it eats 1/3 of the remaining disk space. The third day it eats 1/4 of wha

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: A computer virus is eating disk space. During the first day it eats 1/2 of the disk.During the second day, it eats 1/3 of the remaining disk space. The third day it eats 1/4 of wha      Log On


   

Question 299232: A computer virus is eating disk space. During the first day it eats 1/2 of the disk.During the second day, it eats 1/3 of the remaining disk space. The third day it eats 1/4 of what still remains and the fourth day it eats 1/5 of what is left. What fraction of the original disk space remains intact?
A.1/5 B. 1/6 C. 1/10 D. 1/12 E. 1/24
Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
A computer virus is eating disk space. During the first day it eats 1/2 of the disk.During the second day, it eats 1/3 of the remaining disk space. The third day it eats 1/4 of what still remains and the fourth day it eats 1/5 of what is left. What fraction of the original disk space remains intact?


another hectic fraction problem try to stay with me
D= original disk space
1st %281%2F2%29D which leaves %281%2F2%29D remaining
2nd %281%2F3%29%28%281%2F2%29D%29=%281%2F6%29D so then %281%2F2%29D-%281%2F6%29D=%281%2F3%29D remaining
3rd %281%2F4%29%28%281%2F3%29D%29=%281%2F12%29D so then %281%2F3%29D-%281%2F12%29D=%281%2F4%29D remaining
4th %281%2F5%29%28%281%2F4%29D%29=%281%2F20%29D so then %281%2F4%29D-%281%2F20%29D=%281%2F5%29D remaining
so 1%2F5of the original disk space is left