I recently measured the distance of the path I walk my dog on, and Google Earth gave me an answer of 1.1111... miles. I know this is 10/9, so I mentioned to someone that it is 10/9 of a mile long. They then proceed to tell me, "You're an idiot, you have to simplify that to 1 and 1/9, your final answer can't be an improper fraction." This blew my mind...in any math class from precalc forward, mixed numbers are frowned upon. Improper fractions are superior in every way. They take what they learn in like fifth grade about simplifying improper fractions and proceed to tell me I don't know what I'm talking about. The ONLY time I use mixed numbers is for measuring something on the scale of inches, because that's how rulers are set up. Other than that, improper fractions are always better in my opinion, and they're primarily what I use. I don't know if it's because of it being hammered into my head in calculus classes or because I don't like wasting time converting to a less useful form, but I think mixed numbers are a waste of time 99% of the time.
What do you think? Do you use improper fractions or mixed numbers, and why?
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