Three-Terms Ratios.

Question

. How to write these ratios $X:Y:Z$ in terms of fraction i.e. either like $$\frac{\frac{X}{Y}}{Z}$$ or $$\frac{X}{\frac{Y}{Z}}$$?

Answer 1

When writing that the ratio of three groups is X:Y:Z, it means that:

The first group size is $$\frac{X}{X+Y+Z}$$ of the total.

The second group size is: $$\frac{Y}{X+Y+Z}$$ of the total.

And the third group size is: $$\frac{Z}{X+Y+Z}$$ of the total.