What is it mean to say that some quantity is a "constant fraction" of another quantity?
2026-03-29 10:18:10.1774779490
What is a "constant fraction" of a total?
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I would say that $f(x)$ is a constant fraction of $g(x)$ means the same thing as being a constant multiple of $g(x)$ -- just written as $f(x)=\frac{g(x)}{c}$ instead of $f(x)=cg(x)$.
In either case, the key is that $c$ does not depend on $x$... that is, the relation holds for every $x$.