To solve this equation, we will follow the order of operations (PEMDAS):

First, solve the expression inside the parentheses:
18/17 + 27/11
= 18/17 + 14/11
= (1811 + 1417) / (1711)
= (198 + 238) / 187
= 436 / 187

Next, substitute the result back into the original expression:
118/17 : (436/187)
= 18/17 : 436/187
= (18/17) / (436/187)
= (18/17) (187/436)
= (18187) / (17436)
= 3354 / 7412
= 558 / 1235

So, 1×18/17:(18/17+2×7/11) simplifies to 558/1235.