Carat to Kilogram Converter
Weight · unit-converter
Convert Carat to Kilogram with a fixed input and output unit, step-by-step formula line, and reference tables. All calculations use gram-based factors (international avoirdupois pound and metric definitions). The full Weight Converter also includes carat, grain, and US/UK hundredweight.
Calculator
From: Carat (ct)
To: Kilogram (kg)
About Carat
The metric carat is exactly 0.2 grams (200 mg), commonly used for gemstones and jewelry.
About Kilogram
The kilogram is the SI base unit of mass (defined via fundamental constants). Everyday metric weights and science use kilograms and grams.
How to convert carats to kilograms
1 carat is equal to 0.0002 kilogram:
1 ct = (0.2 g ÷ 1000 g) kg = 0.0002 kg
Each carat is defined as 0.2 g and each kilogram as 1000 g, so one ct equals 0.2 ÷ 1000 kg = 0.0002 kg.
Let w(ct) be the numeric value of the same mass measured in Carat (ct), and w(kg) the value in Kilogram (kg). Then:
w(kg) = w(ct) × (0.2 / 1000)
Equivalently, divide by how many ct fit into one kg (grams per kg divided by grams per ct):
w(kg) = w(ct) ÷ 5000
Or: kilogram = carat ÷ 5000
Examples
Example #1: Convert 20 ct to kilogram
20 ct = 20 ct × (0.2/1000) kg = 0.004 kg
20 ct = 20 ct ÷ 5000 = 0.004 kg
Example #2: Convert 50 ct to kilogram
50 ct = 50 ct × (0.2/1000) kg = 0.01 kg
50 ct = 50 ct ÷ 5000 = 0.01 kg
Summary
To convert Carat to Kilogram, multiply the value in ct by the ratio of grams per ct divided by grams per kg. Equivalently: value_kg = value_ct × (0.2 / 1000). Numerically, 1 ct equals 0.0002 kg.
Relationship context
Both units are metric (SI) and tied to the gram via the kilogram. Conversions use exact ratios from their gram definitions. The factor from Carat to Kilogram is 2.000000e-4 (1 ct = 0.0002 kg).
Conversion tables
| Carat (ct) | Kilogram (kg) |
|---|---|
| 0.1 | 0.00002 |
| 1 | 0.0002 |
| 2 | 0.0004 |
| 3 | 0.0006 |
| 4 | 0.0008 |
| 5 | 0.001 |
| 6 | 0.0012 |
| 7 | 0.0014 |
| 8 | 0.0016 |
| 9 | 0.0018 |
| Carat (ct) | Kilogram (kg) |
|---|---|
| 10 | 0.002 |
| 20 | 0.004 |
| 30 | 0.006 |
| 40 | 0.008 |
| 50 | 0.01 |
| 60 | 0.012 |
| 70 | 0.014 |
| 80 | 0.016 |
| 90 | 0.018 |
| 100 | 0.02 |