Step 1: Understanding the Concept:
Omega-3 fatty acids have a double bond at the third carbon from the methyl end.
The position of the double bond determines the omega designation.
Step 2: Key Formula or Approach:
No specific formula.
Need to know the structure of omega-3 fatty acids.
Step 3: Detailed Explanation:
Omega-3 fatty acids have the first double bond at carbon 3 from the omega (methyl) end.
For 18:3 \((\Delta^{9,12,15})\), the double bonds are at positions 9, 12, and 15.
Counting from the methyl end, the first double bond is at carbon 3 (18 - 15 = 3).
Thus, it is an omega-3 fatty acid.
Other options do not have the omega-3 configuration.
Step 4: Final Answer:
18:3 \((\Delta^{9,12,15})\) is an omega-3 fatty acid.
Hence, the correct option is (D).