noun
way of drinking; how to drink; way of taking (medicine)
Refers to the manner or method of drinking something, including taking liquid medicine or pills. Often used in instructions or when discussing drinking habits.
この薬の飲み方を教えてください。
Please tell me how to take this medicine.
彼の酒の飲み方はひどい。
His way of drinking alcohol is terrible.
Refers to the way of eating, while 飲み方 is specifically for drinking or taking liquid/medicine.
General term for 'how to use' something; 飲み方 is limited to drinking/taking.
Compound of 飲み (nom-i, the continuative form of 飲む 'to drink') + 方 (kata, 'way, method').