How do you convert 0.45 (45 repeating) to a fraction?

You have to write a systems of equations, in one variable, to represent this problem.
##100x = 45.bar(45)##
##x = 0.bar(45)##
Now, subtract, like you would do to solve a systems of equations by elimination.
##99x = 45##
##x = 45/99##
##x = 5/11##
Therefore, ##0.bar(45)## as a fraction is ##5/11##
Hopefully this helps!

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