Convert Microgram to Carat
Unit definitions
Microgram
$\frac{1}{10^{6}}$ of a gram is a microgram.
Carat
$\frac{2}{10}$ of a gram is a carat. It is used to measure the mass of gemstones.
How to convert Microgram to Carat
$$\text{Mass}_{\text{ct}} = \frac{\text{Mass}_{\text{μg}}}{200000}$$
Examples
Example 1
Convert $40.0\ \text{μg}$ to $\text{ct}$.
$$\text{Mass}_{\text{ct}} = \frac{40.0}{200000}$$
$$\text{Mass}_{\text{ct}} = 0.0002$$
$$\therefore \ 40.0\ \text{μg} = 0.0002 \ \text{ct}$$
Example 2
Convert $65.0\ \text{μg}$ to $\text{ct}$.
$$\text{Mass}_{\text{ct}} = \frac{65.0}{200000}$$
$$\text{Mass}_{\text{ct}} = 0.000325$$
$$\therefore \ 65.0\ \text{μg} = 0.000325 \ \text{ct}$$
Example 3
Convert $100.0\ \text{μg}$ to $\text{ct}$.
$$\text{Mass}_{\text{ct}} = \frac{100.0}{200000}$$
$$\text{Mass}_{\text{ct}} = 0.0005$$
$$\therefore \ 100.0\ \text{μg} = 0.0005 \ \text{ct}$$
Example 4
Convert $135.0\ \text{μg}$ to $\text{ct}$.
$$\text{Mass}_{\text{ct}} = \frac{135.0}{200000}$$
$$\text{Mass}_{\text{ct}} = 0.000675$$
$$\therefore \ 135.0\ \text{μg} = 0.000675 \ \text{ct}$$
Example 5
Convert $190.0\ \text{μg}$ to $\text{ct}$.
$$\text{Mass}_{\text{ct}} = \frac{190.0}{200000}$$
$$\text{Mass}_{\text{ct}} = 0.00095$$
$$\therefore \ 190.0\ \text{μg} = 0.00095 \ \text{ct}$$