laineyf laineyf
  • 19-09-2019
  • Mathematics
contestada

Convert 3.3636 to a
fraction.

Respuesta :

pi314
pi314 pi314
  • 19-09-2019

The answer is 3_4/11. The "_" indicates it's not the same number. So you don't get confused.

When repeating, you put a 99. Not 100. So, this will be 36/99. Now, you simplify. Also add the 3. You then get 3_4/11.

Proof:

x=0.6...

10x=6.6...

 -x=0.6...

9x=6

x=2/3

2/3=0.6...

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