There are important pieces of mathematics. Anyone claiming that differential equations are a niche interest is lying to you. And then there are niche interests. These are worthwhile fields. It’s just you can get a good well-rounded mathematical education while being only a little aware of them. And things can move from being important to niche, or back again.

Continued fractions are one of those things I had understood to have fallen from importance. They had a vogue, in Western mathematics, where they do some problems pretty neatly and cleverly. But they’re discussed more rarely these days. The speculation I’ve seen is that they don’t quite have a logical place, as being a little too hard when you’re learning fractions but seeming too easy when you’re learning infinite series, that sort of thing. My experience, it turns out, was not universal, and that’s an exciting thing to learn in the comments.

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## Author: Joseph Nebus

I was born 198 years to the day after Johnny Appleseed. The differences between us do not end there. He/him.
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I always found fractions easier to visualise than decimals – something spatial about them – and also easier to use in calculations.

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There is a lot of good about fractions, certainly, and that they can match quantities to amounts of space is certainly part of it.

Continued fractions are something I never really got a hold of; I can work out, like, what might be, but then makes my eyes glaze over.

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Actually, even the first example you gave made me feel woozy so maybe I’m not the fraction king I made myself out to be … :D

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Heh! Well, at least a good is accessible.

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:)

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