Convert Carat to Femtogram
Unit definitions
Carat
$\frac{2}{10}$ of a gram is a carat. It is used to measure the mass of gemstones.
Femtogram
$\frac{1}{10^{15}}$ of a gram is a femtogram.
How to convert Carat to Femtogram
$$\text{Mass}_{\text{fg}} = \text{Mass}_{\text{ct}} \cdot 200000000000000$$
Examples
Example 1
Convert $45.0\ \text{ct}$ to $\text{fg}$.
$$\text{Mass}_{\text{fg}} = 45.0 \cdot 200000000000000$$
$$\text{Mass}_{\text{fg}} = 9000000000000000$$
$$\therefore \ 45.0\ \text{ct} = 9000000000000000 \ \text{fg}$$
Example 2
Convert $60.0\ \text{ct}$ to $\text{fg}$.
$$\text{Mass}_{\text{fg}} = 60.0 \cdot 200000000000000$$
$$\text{Mass}_{\text{fg}} = 12000000000000000$$
$$\therefore \ 60.0\ \text{ct} = 12000000000000000 \ \text{fg}$$
Example 3
Convert $105.0\ \text{ct}$ to $\text{fg}$.
$$\text{Mass}_{\text{fg}} = 105.0 \cdot 200000000000000$$
$$\text{Mass}_{\text{fg}} = 21000000000000000$$
$$\therefore \ 105.0\ \text{ct} = 21000000000000000 \ \text{fg}$$
Example 4
Convert $135.0\ \text{ct}$ to $\text{fg}$.
$$\text{Mass}_{\text{fg}} = 135.0 \cdot 200000000000000$$
$$\text{Mass}_{\text{fg}} = 27000000000000000$$
$$\therefore \ 135.0\ \text{ct} = 27000000000000000 \ \text{fg}$$
Example 5
Convert $160.0\ \text{ct}$ to $\text{fg}$.
$$\text{Mass}_{\text{fg}} = 160.0 \cdot 200000000000000$$
$$\text{Mass}_{\text{fg}} = 32000000000000000$$
$$\therefore \ 160.0\ \text{ct} = 32000000000000000 \ \text{fg}$$