Cut each banana into 6 chunks and freeze until rock solid, preferably overnight.
Put the banana chunks and strawberries in a food processor and process. Hang on, your food processor may jolt in the very beginning! The bananas will look crumbly at first, then gooey and eventually light and creamy- just like ice cream. Stop the food processor frequently to scrape down the sides of the bowl and break up any clumps. Serve right away or scrape into a container and freeze until ready to serve.
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