When someone writes "$ \frac {a}{b}$ of $c$", why is the preposition "of" interpreted as multiplication of $c$ by $a/b$?
2026-03-28 09:57:03.1774691823
Why does $ \frac {a}{b}$ of $c$ mean $ \frac {a}{b} \cdot c$
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It can be understood this way:
We divide $c$ into $b$ parts and take $a$ pieces. so $\frac{a}{b}\cdot c$ means $\frac{a}{b}$ of $c$, just like half (or say $\frac{1}{2}$) of one cake (or $1$).