0.45 repeating as a fraction

0.9090909 ... / 2

This is the equivalent and it has no equal fraction counterpart

Write a systems of equations, in one variable, to show this problem.

100x=45.45

x=0.45

Now, subtraction, like you would do to solve an equation by elimination.

99

x=45

x=45/99

x=5/11

Therefore,

0.45

as a fraction is

5/11