To solve this expression, we need to follow the order of operations, which is also known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).
Given expression: (110+17*6)240:(400-564)
Inside the parentheses, perform the multiplication first: 17*6 = 102
New expression: (110+102)240:(400-564)
Next, perform the addition inside the parentheses: 110+102 = 212
New expression: (212)240:(400-564)
Now, let's work on the remaining multiplication: 5*64 = 320
New expression: (212)*240:(400-320)
Then, perform the subtraction: 400-320 = 80
New expression: (212)*240:80
Finally, perform the division: (212*240)/80 = 6360
Therefore, the result of the given expression is 6360.
