oz to mg Converter - Ounce to Milligram

Conversion derivation

Express both oz and mg 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 mg in the base unit

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

   Forward conversion

   $$\begin{array}{rl}1\mathrm{oz}& =\frac{0.0283495231\cancel{\mathrm{kg}}}{0.000001\cancel{\mathrm{kg}}}\times 1\mathrm{mg}\\ & =\frac{0.0283495231}{0.000001}\mathrm{mg}\\ & =28,349.5231\mathrm{mg}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{mg}& =\frac{0.000001\cancel{\mathrm{kg}}}{0.0283495231\cancel{\mathrm{kg}}}\times 1\mathrm{oz}\\ & =\frac{0.000001}{0.0283495231}\mathrm{oz}\\ & =0.000035273962\mathrm{oz}\end{array}$$