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Question 833306: What fraction is represented by 0.17952? where the 952 is repeating.
Found 3 solutions by Alan3354, KMST, MathTherapy: Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! What fraction is represented by 0.17952? where the 952 is repeating.
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Ignore the 17 for now
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n = 0.952952952...
1000n=952.952952...
- 1n =-00.952952...
----------------------- Add
999n = 952
n = 952/999
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--> 17 + 952/999
Answer by KMST(5328) (Show Source): Answer by MathTherapy(10552) (Show Source):
You can put this solution on YOUR website!
What fraction is represented by 0.17952? where the 952 is repeating.
Let fraction be F
F = 0.17952 ------- eq (i)
100F = 17.952 -------- Multiplying eq (i) by 100 --------- eq (ii)
100,000F = 17,952.952 ---- Multiplying eq (i) by 100,000 ----- eq (iii)
- 99,900F = - 17,935 ------ Subtracting eq (iii) from eq (ii)
F = 
F, or fraction = 
You can do the check!!
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