ct to mg Converter - Carat to Milligram

Conversion derivation

Express both ct and mg 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 mg in the base unit

   $$1\mathrm{mg}=0.000001\mathrm{kg}$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{ct}& =\frac{0.0002\cancel{\mathrm{kg}}}{0.000001\cancel{\mathrm{kg}}}\times 1\mathrm{mg}\\ & =\frac{0.0002}{0.000001}\mathrm{mg}\\ & =200\mathrm{mg}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{mg}& =\frac{0.000001\cancel{\mathrm{kg}}}{0.0002\cancel{\mathrm{kg}}}\times 1\mathrm{ct}\\ & =\frac{0.000001}{0.0002}\mathrm{ct}\\ & =0.005\mathrm{ct}\end{array}$$