SOLUTION: Express each given irrational numbers as a quotient of two numbers. Ex. a) 0.1111... b) 0.585858... c) -3.173173173.. d) 4.0121212...

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Question 319620: Express each given irrational numbers as a quotient of two numbers.
Ex. a) 0.1111...
b) 0.585858...
c) -3.173173173..
d) 4.0121212...
Answer by Alan3354(31538) About Me  (Show Source):
You can put this solution on YOUR website!
Express each given irrational numbers as a quotient of two numbers.
Ex. a) 0.1111...
n = 0.11111...
10n = 1.1111...
1n = 00.1111....
------------------ Subtract
9n = 1
n = 1/9
---------
b) 0.585858...
----------------------
c) -3.173173173..
Ignore the -3 for now
n = 0.173173...
1000n = 173.173173...
1n = 0.173173...
------------------- Subtract
999n = 173
n = 173/999
--> -3 173/999
------------------
d) 4.0121212...
You try b and d, email me via the Thank You note for help if needed.