How do you write 0.05 repeating as a fraction

Step-by-step explanation:

We are given a repeating decimal

Let x=0.0505050505.......... ---------------eq(1)

We can see two digit is repeating after decimal

So, we multiply by 100 both sides of equation x=0.05050505.... and we get

100x=5.0505050505......... ---------------eq(2)

Subtract  eq(2)-eq(1)

100x-x=5

99x=5

Thus, as fraction.

-2x + 7 = 7

subtract 7 from both sides.

-2x = 0

divide both sides by -2.

x = 0