Convert Nanogram to Carat
Unit definitions
Nanogram
$\frac{1}{10^{9}}$ of a gram is a nanogram.
Carat
$\frac{2}{10}$ of a gram is a carat. It is used to measure the mass of gemstones.
How to convert Nanogram to Carat
$$\text{Mass}_{\text{ct}} = \frac{\text{Mass}_{\text{ng}}}{200000000}$$
Examples
Example 1
Convert $45.0\ \text{ng}$ to $\text{ct}$.
$$\text{Mass}_{\text{ct}} = \frac{45.0}{200000000}$$
$$\text{Mass}_{\text{ct}} = 0.000000225$$
$$\therefore \ 45.0\ \text{ng} = 0.000000225 \ \text{ct}$$
Example 2
Convert $65.0\ \text{ng}$ to $\text{ct}$.
$$\text{Mass}_{\text{ct}} = \frac{65.0}{200000000}$$
$$\text{Mass}_{\text{ct}} = 0.000000325$$
$$\therefore \ 65.0\ \text{ng} = 0.000000325 \ \text{ct}$$
Example 3
Convert $120.0\ \text{ng}$ to $\text{ct}$.
$$\text{Mass}_{\text{ct}} = \frac{120.0}{200000000}$$
$$\text{Mass}_{\text{ct}} = 0.000001$$
$$\therefore \ 120.0\ \text{ng} = 0.000001 \ \text{ct}$$
Example 4
Convert $150.0\ \text{ng}$ to $\text{ct}$.
$$\text{Mass}_{\text{ct}} = \frac{150.0}{200000000}$$
$$\text{Mass}_{\text{ct}} = 0.000001$$
$$\therefore \ 150.0\ \text{ng} = 0.000001 \ \text{ct}$$
Example 5
Convert $170.0\ \text{ng}$ to $\text{ct}$.
$$\text{Mass}_{\text{ct}} = \frac{170.0}{200000000}$$
$$\text{Mass}_{\text{ct}} = 0.000001$$
$$\therefore \ 170.0\ \text{ng} = 0.000001 \ \text{ct}$$