g a ct convertitore - Grammo a Carato

Conversion derivation

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

1. 1

   Rewrite g in the base unit

   $$1\mathrm{g}=0.001\mathrm{kg}$$
2. 2

   Rewrite ct in the base unit

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

   Forward conversion

   $$\begin{array}{rl}1\mathrm{g}& =\frac{0.001\cancel{\mathrm{kg}}}{0.0002\cancel{\mathrm{kg}}}\times 1\mathrm{ct}\\ & =\frac{0.001}{0.0002}\mathrm{ct}\\ & =5\mathrm{ct}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{ct}& =\frac{0.0002\cancel{\mathrm{kg}}}{0.001\cancel{\mathrm{kg}}}\times 1\mathrm{g}\\ & =\frac{0.0002}{0.001}\mathrm{g}\\ & =0.2\mathrm{g}\end{array}$$