Question

What is 0.36⎯⎯⎯⎯ expressed as a fraction in simplest form?

Answer 1

Let x equal the repeating decimal.

x =     0.363636...

Since there are two repeating digits, 36, we multiply the equation above by 100 on both sides, and write it above the equation. Then we subtract the equations.

   100x  =  36.363636...
 -       x  =    0.363636...
--------------------------------
     99x  =  36

Divide both sides by 99.

x = 36/99

Divide both the numerator and denominator by 9.

x = 4/11

Answer: 0.363636... = 4/11

Answer 2

The answer in simplest fraction would be 9/25