SOLUTION: Hi!, on a test, i had this kind of question and i have no idea how to find the answer. Find the exact rational sum of the following two recurring decimals and write it in the fo

Question 1021601: Hi!, on a test, i had this kind of question and i have no idea how to find the answer.
Find the exact rational sum of the following two recurring decimals and write it in the form where a,m,n is an element of integers
1.1353535...+2.187777...
Any help would be appreciated!!
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
If we try to get the sum directly by writing out eleven decimal places of each number, we would get
1.13535353535
2.18777777777
-------------
3.32313131312
which, again, by virtue of periodicity of the decimal parts of the given numbers, the sum itself would have a periodic decimal part.
This number is 3 + 0.3231313131... = .
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