how do you convert .454545454545 and so on into 5/11?

Question

anonymous · Answer

well I'm a little confused, 5/11 is equal to that, but technically it repeates 4545454545 infinitely so when that happens you write |dw:1416508429848:dw| add the line on the top of the 2 numbers that repeat

anonymous · Answer

so now they are exactly equal

anonymous · Answer

I don't know if thats what you meant

campbell_st · Answer

you use multiples of 10

if you have 

x = 0.454545...       call this equation 1

then then multiply it by 100 you get

100x = 45.45454545... equation 2

then just calculate equation 2 - equation 1... this will eliminate the recurring decimal

  100x = 45.454545.... 
-      x =   0.454545...
----------------------
  99x = 45

now solve for  x and simplify