SOLUTION: What fraction is represented by 0.17952? where the 952 is repeating.

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.
-------------------
Ignore the 17 for now
-------------
n = 0.952952952...
1000n=952.952952...
- 1n =-00.952952...
----------------------- Add
999n = 952
n = 952/999
==================
--> 17 + 952/999

Answer by KMST(5328)   (Show Source): You can put this solution on YOUR website!
So 17.952952952.... =
Similarly,if

Then,
(the rest of the digits cancel out)

Can we simplify that fraction?

is not divisible by or by , but we can divide it by
and so

is not divisible by or so we cannot simplify the fraction further.

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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