Let x = 0.¯45
Then 100x = 45.¯45
Subtracting the left equation from the right equation:
100x - x = 45.¯45 - 0.¯45
99x = 45
x = 45/99
The fraction 45/99 can be simplified by dividing both numerator and denominator by 9:
45/99 = 5/11
Therefore, 0.¯45 expressed as a fraction in simplest form is 5/11.