To fix a broken metal hinge, wash the surface of the hinge and the corresponding part on the frame, and scrape away any old glue residue or paint. Apply fast-bonding glue to the break, hold the pieces into position for one minute, and allow the glue to dry.
Insert a miniature safety pin into the position of a missing screw, or use a screw from an eyeglass repair kit. After tightening the screw, seal it with clear nail polish.
To fix eyeglasses frames with stretched-out hinges, pad the tips of pliers with duct tape, and use the pliers to carefully bend the hinges back to the appropriate position. Use the tip of a paring knife or the mini screwdriver found in an eyeglass repair kit to tighten loose screws.
If all else fails, consider having an optician repair the frames. EyeglassesDirect.com offers repair service for both metal and plastic frames by mail, as of 2016.