ct to jin Converter - Carat to Jin

Conversion derivation

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

1. 1

   Rewrite ct in the base unit

   $$1\mathrm{ct}=0.0002\mathrm{kg}$$
2. 2

   Rewrite jin in the base unit

   $$1\mathrm{jin}=0.5\mathrm{kg}$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{ct}& =\frac{0.0002\cancel{\mathrm{kg}}}{0.5\cancel{\mathrm{kg}}}\times 1\mathrm{jin}\\ & =\frac{0.0002}{0.5}\mathrm{jin}\\ & =0.0004\mathrm{jin}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{jin}& =\frac{0.5\cancel{\mathrm{kg}}}{0.0002\cancel{\mathrm{kg}}}\times 1\mathrm{ct}\\ & =\frac{0.5}{0.0002}\mathrm{ct}\\ & =2,500\mathrm{ct}\end{array}$$