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QUESTION

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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