Convert Decigram to Carat

Unit definitions

Decigram

$\frac{1}{10^{1}}$ of a gram is a decigram.

Carat

$\frac{2}{10}$ of a gram is a carat. It is used to measure the mass of gemstones.

How to convert Decigram to Carat

$$\text{Mass}_{\text{ct}} = \frac{\text{Mass}_{\text{dg}}}{2}$$

Examples

Example 1

Convert $25.0\ \text{dg}$ to $\text{ct}$.

$$\text{Mass}_{\text{ct}} = \frac{25.0}{2}$$

$$\text{Mass}_{\text{ct}} = 12.5$$

$$\therefore \ 25.0\ \text{dg} = 12.5 \ \text{ct}$$

Example 2

Convert $75.0\ \text{dg}$ to $\text{ct}$.

$$\text{Mass}_{\text{ct}} = \frac{75.0}{2}$$

$$\text{Mass}_{\text{ct}} = 37.5$$

$$\therefore \ 75.0\ \text{dg} = 37.5 \ \text{ct}$$

Example 3

Convert $105.0\ \text{dg}$ to $\text{ct}$.

$$\text{Mass}_{\text{ct}} = \frac{105.0}{2}$$

$$\text{Mass}_{\text{ct}} = 52.5$$

$$\therefore \ 105.0\ \text{dg} = 52.5 \ \text{ct}$$

Example 4

Convert $135.0\ \text{dg}$ to $\text{ct}$.

$$\text{Mass}_{\text{ct}} = \frac{135.0}{2}$$

$$\text{Mass}_{\text{ct}} = 67.5$$

$$\therefore \ 135.0\ \text{dg} = 67.5 \ \text{ct}$$

Example 5

Convert $175.0\ \text{dg}$ to $\text{ct}$.

$$\text{Mass}_{\text{ct}} = \frac{175.0}{2}$$

$$\text{Mass}_{\text{ct}} = 87.5$$

$$\therefore \ 175.0\ \text{dg} = 87.5 \ \text{ct}$$

Decigram to Carat conversion table

Decigram to Carat conversion table
Decigram [dg] Carat [ct]
1 0.5
2 1
3 1.5
4 2
5 2.5
6 3
7 3.5
8 4
9 4.5
10 5

Convert Decigram to other Mass units