If you cut up fruit and stick it in a bag and place it in the freezer, when you go to use it in its frozen state, it will all be stuck together. This can be annoying if you're trying to portion control and it's hard to separate, and also bad if you have a plastic-pitcher style blender that can crack with heavy weight shifting around.
To get your frozen fruit to not stick together, chop your fruit and lay it out on a parchment paper lined baking sheet. Pop it in the freezer until frozen, then transfer to airtight freezer bags. I like to chop my fruit in same sized portions so I can count how many is a serving if I don't have time to weigh it.
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A great way to save money is to freeze fruit when it is in season and inexpensive, so that you can use it throughout the year. This is also useful if you have a garden and want to enjoy the "fruits" of your labor for longer. Here are a few tips to help people new to freezing produce.