1993 UNCO Math Contest II Problems/Problem 2
Determine the digit in the place after the decimal point in the repeating decimal for:
Solution 1 =
Fist we add them together and divide. We get the repeating decimal .134316134316. We can see that it repeats every six decimal places, so we need to find the remainder when 623 is divided by six. When we divide, we see that the remainder is five, so we go in five decimal places and find 1, and we are done.
The sum of and is , and the sum of of and (aka ) is . Doing long division, we get the decimal , so the place, we only need the digit, which is
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