1. Convert mixed numbers and decimals to fractions: (-24/11 * 33/8 + 8/5 * 15/4) : (9 - 35/6 : 18/7)
2. Perform multiplication: (-9/1 * 3/1 + 2/1 * 3/1) : (9 - 35/6 * 7/18) = (-27 + 6) : (9 - 245/108)
3. Perform subtraction and division: -21 : ((972 - 245)/108) = -21 : (727/108)
4. Perform division: -21 * 108/727 = -2268/727
-2268/727