Why mathematicians have chosen notation such that in algebra $1\frac{1}{2}=\frac{3}{2}$ but $x\frac{y}{z}=\frac{xy}{z}$, instead of $x\frac{y}{z}=\frac{xz+y}{z}$?
2026-03-30 03:37:56.1774841876
Why $1\frac{1}{2}\ne \frac{1}{2}$?
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$$1\frac12=1+\frac12$$ and not $$1\cdot\frac12$$