3 years ago

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

2 answers:

8 0

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

Keith_Richards [23]3 years ago

6 0

The answer in simplest fraction would be 9/25

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