SOLUTION: write as a fraction,reduce. 0.45(repeater bar over the 5)

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: write as a fraction,reduce. 0.45(repeater bar over the 5)      Log On


   

Question 125163: write as a fraction,reduce. 0.45(repeater bar over the 5)
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
write as a fraction,reduce. 0.45(repeater bar over the 5)
---------------
Let x = 0.45555555.....
Then 10x = 4.555555555....
And 100x = 45.555555555....
------------------
Subract the 10x equation from the 100x equation to get:
90x = 41
x = 41/90
================
Cheers,
Stan H.