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33 votes
33 votes
Convert 0.161616 to a repeating fraction (simplify)

User Traffichazard
by
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1 Answer

15 votes
15 votes

The repeating digits are 16, our number is going to be called x, x= 0.161616. If we multiply x by 100 we have, 16.1616. So we are going to formulate the following equation

100*x - x = 16.1616.. - 0.1616...

After subtracting x from 100 x , w have

99x = 16

Dividing by 99 on both sides of the equation

x = 16/99

Answer is 16/99, because it can not be simplyfied.