(1/2+2 1/2):7-1/2*2/3+17/21=

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To solve this expression, we need to follow the order of operations (PEMDAS).

(1/2 + 2 1/2) = 3

Now, the expression becomes:

3 - 1/2 * 2/3 + 17/21

Next, we multiply 1/2 with 2/3:

1/2 * 2/3 = 1/3

Then, the expression becomes:

3 - 1/3 + 17/21

Now, we find a common denominator to add 1/3 and 17/21:

1/3 = 7/21

Adding 7/21 and 17/21 gives us:

24/21 = 8/7

So, the final answer is:

3 - 8/7 = 13/7 or 1 6/7