From many formations: All (or designated dancers) Single (Partner) Hinge the number of times indicated by the first number called; with other hands all who can Hinge the number of times directed by the second number, etc. Note: After the first Hinge, only those who have been touched by a previous hinger can hinge. Dancers facing the same direction who are required to Hinge must start with a Partner Hinge and then continue with Single Hinges. Thus, from a 2-faced line Hinge By 2, 2 would have all do a Partner Hinge then Single Hinge with the same dancer giving a momentary wave in which the centers would Trade (Hinge Twice).
The above call is also being called as Hinge By 1/4, 1/2, 3/4, etc. This appears prima facie to be bad usage since the operative name is Hinge and not Turn. The implication of the numbers following the call name is that they are the number of hinges to be done at each juncture. Clearly a 1/4 Hinge or a 3/4 Hinge is not being called for. However, those who like the terminology Hinge 1/4 when they really want a 1/4 turn instead of a 1/16 turn may prefer the fractional designators.