Heat about 1-inch of oil in heavy-bottomed saucepan over medium heat until a deep-fry thermometer inserted in the oil registers 340 degrees F. Line a large plate with paper towels.
Peel the plantains and discard the skins. Slice into 1/4-inch thick pieces. Fry the plantains in oil, turning occasionally, until a golden brown color, about 2 to 4 minutes. The longer the plantains fry the sweeter they are. Remove with a slotted spoon and drain on paper towels. Sprinkle the plantains with a little salt.
Put the sugar and cinnamon in a brown bag, drop the warm plantains into the bag, and shake to coat evenly. Serve with rum whipped cream or ice cream, if desired.
Rum Whipped Cream:
Whip the cream just until soft peaks form. Add the rum and whip again, taking care not to over whip your cream. Serve now or refrigerate until ready to serve.
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