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1 gtt = 0.00035 cup
1 cup = 2,839.06 gtt
Definition of medical drops of water provided by Merriam-Webster
the smallest practical unit of liquid measure that varies in size according to the specific gravity and viscosity of the liquid and to the conditions under which it is formed.
Definition of US cup of water provided by WikiPedia
Pne U.S. cup of water weighs approximately 81⁄3 avoirdupois ounces. Since an imperial cup of water weighs approximately 10 avoirdupois ounces and five imperial cups are approximately equal to six U.S. cups