SOLUTION: what is the answer for 3.463463463..... as a fraction?

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Question 1051929: what is the answer for 3.463463463..... as a fraction?
Found 2 solutions by MathTherapy, Alan3354:
Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

what is the answer for 3.463463463..... as a fraction?
highlight_green%28%223%2C460%22%2F999%29

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
3.463463463..... as a fraction?
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Do the repeating part first.
0.463463463..... as a fraction?
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n = 0.463463463.....
It's 3 digits repeated, so multiply by 1000
1000n = 463.463463.....
-1n = -0.463463463.....
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Subtract
999n = 463
0.463463463... = 463/999
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Add the 3: 3 = 2997/999
--> 3.463463463... = 3460/999