6 3/17:(5/17-1)-2×2 1/2

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To solve the expression 6 3/17:(5/17-1)-2×2 1/2, we need to follow the order of operations, which is parentheses, multiplication, division, addition, and subtraction.

Let's break it down step by step:

1. Begin by simplifying inside the parentheses: (5/17 - 1) = -12/17
2. Next, we calculate the division operation: 6 3/17 ÷ (-12/17) = (107/17) ÷ (-12/17) = -107/12
3. Then, move on to the multiplication operation: -2 x 2 1/2 = -2 x (5/2) = -10

Putting it all together, the solution to the expression 6 3/17:(5/17-1)-2×2 1/2 is -107/12 - (-10) = -107/12 + 10 = (120 - 107) / 12 = 13/12.

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