oz to ct Converter - Ounce to Carat

Conversion derivation

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

1. 1

   Rewrite oz in the base unit

   $$1\mathrm{oz}=0.0283495231\mathrm{kg}$$
2. 2

   Rewrite ct in the base unit

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

   Forward conversion

   $$\begin{array}{rl}1\mathrm{oz}& =\frac{0.0283495231\cancel{\mathrm{kg}}}{0.0002\cancel{\mathrm{kg}}}\times 1\mathrm{ct}\\ & =\frac{0.0283495231}{0.0002}\mathrm{ct}\\ & =141.7476155\mathrm{ct}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{ct}& =\frac{0.0002\cancel{\mathrm{kg}}}{0.0283495231\cancel{\mathrm{kg}}}\times 1\mathrm{oz}\\ & =\frac{0.0002}{0.0283495231}\mathrm{oz}\\ & =0.007054792396\mathrm{oz}\end{array}$$