What is 0.33% (repeating) as a fraction?

Wendy Larsen

Wendy Larsen

Answered question

2023-01-05

What is #0.33%# (repeating) as a fraction?

Answer & Explanation

Jacquelyn Watts

Jacquelyn Watts

Beginner2023-01-06Added 12 answers

So we write #0.3(3  repeating)% as ddd0.3(3  repeating)×1100
Consider just the 0.3(3 repeating) part
Let x=0.3333333
Therefore 10x=3.3333.
So 10xx=3.3333.
ddddddddddd0.3333.  Subtract  
ddddddddddd3.0
10xx=3
x(101)=3
x=39=13

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