Dex and Haley both collect hats. Dex has 55 baseball caps, 22 bucket hats and 77 knit beanies. Haley has 33 caps, 22 sun hats and 55 knit beanies. Let's categorize caps, bucket hats and sun hats as summer hats and knit beanies as winter hats. Counting both Dex and Haley's collections, what is the simplified ratio between summer and winter hats?

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