Convert Troy ounce to Carat
Unit definitions
Troy ounce
The troy ounce is the standard unit of mass for precious metals. It is equal to $31.103\,476\,8$ grams.
Carat
$\frac{2}{10}$ of a gram is a carat. It is used to measure the mass of gemstones.
How to convert Troy ounce to Carat
$$\text{Mass}_{\text{ct}} = \text{Mass}_{\text{oz t}} \cdot 155.517384$$
Examples
Example 1
Convert $45.0\ \text{oz t}$ to $\text{ct}$.
$$\text{Mass}_{\text{ct}} = 45.0 \cdot 155.517384$$
$$\text{Mass}_{\text{ct}} = 6998.28228$$
$$\therefore \ 45.0\ \text{oz t} = 6998.28228 \ \text{ct}$$
Example 2
Convert $70.0\ \text{oz t}$ to $\text{ct}$.
$$\text{Mass}_{\text{ct}} = 70.0 \cdot 155.517384$$
$$\text{Mass}_{\text{ct}} = 10886.21688$$
$$\therefore \ 70.0\ \text{oz t} = 10886.21688 \ \text{ct}$$
Example 3
Convert $100.0\ \text{oz t}$ to $\text{ct}$.
$$\text{Mass}_{\text{ct}} = 100.0 \cdot 155.517384$$
$$\text{Mass}_{\text{ct}} = 15551.7384$$
$$\therefore \ 100.0\ \text{oz t} = 15551.7384 \ \text{ct}$$
Example 4
Convert $145.0\ \text{oz t}$ to $\text{ct}$.
$$\text{Mass}_{\text{ct}} = 145.0 \cdot 155.517384$$
$$\text{Mass}_{\text{ct}} = 22550.02068$$
$$\therefore \ 145.0\ \text{oz t} = 22550.02068 \ \text{ct}$$
Example 5
Convert $180.0\ \text{oz t}$ to $\text{ct}$.
$$\text{Mass}_{\text{ct}} = 180.0 \cdot 155.517384$$
$$\text{Mass}_{\text{ct}} = 27993.12912$$
$$\therefore \ 180.0\ \text{oz t} = 27993.12912 \ \text{ct}$$
Troy ounce to Carat conversion table
| Troy ounce [oz t] | Carat [ct] |
|---|---|
| 1 | 155.517384 |
| 2 | 311.034768 |
| 3 | 466.552152 |
| 4 | 622.069536 |
| 5 | 777.58692 |
| 6 | 933.104304 |
| 7 | 1088.621688 |
| 8 | 1244.139072 |
| 9 | 1399.656456 |
| 10 | 1555.17384 |