kg in ct Umrechner - Kilogramm in Karat

Conversion derivation

Express both kg and ct in the same base unit kg (kilogram), then cancel the shared base unit.

1. 1

   Rewrite kg in the base unit

   $$1\mathrm{kg}=1\mathrm{kg}$$
2. 2

   Rewrite ct in the base unit

   $$1\mathrm{ct}=0.0002\mathrm{kg}$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{kg}& =\frac{1\cancel{\mathrm{kg}}}{0.0002\cancel{\mathrm{kg}}}\times 1\mathrm{ct}\\ & =\frac{1}{0.0002}\mathrm{ct}\\ & =5,000\mathrm{ct}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{ct}& =\frac{0.0002\cancel{\mathrm{kg}}}{1\cancel{\mathrm{kg}}}\times 1\mathrm{kg}\\ & =\frac{0.0002}{1}\mathrm{kg}\\ & =0.0002\mathrm{kg}\end{array}$$