Blockage of the common hepatic duct would interfere with digestion of

Fat

Explanation:

The liver is one of the most important organ of the body which helps in removal of toxins from the body.

There are many functions of liver in the body but one of the main functions is that it aids in the digestion of fat by secreting bile juice.

It also processes the nutrients that is being digested and absorbed in the small intestine. The bile juice that is secreted by the liver is sent via duct to the stomach which helps in emulsification of fat.

It breaks down the large fat molecules into droplets called micelles. It also activates the enzyme named lipase which also helps in the digestion of fat.

So, blockage in the hepatic duct will interfere with the digestion of fat.