Carat to Metric Ton Converter
Weight · unit-converter
Convert Carat to Metric Ton 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: Metric Ton (t)
About Carat
The metric carat is exactly 0.2 grams (200 mg), commonly used for gemstones and jewelry.
About Metric Ton
The metric ton (tonne) is 1,000 kilograms or one million grams. It is standard for freight, agriculture, and industrial mass in most metric countries.
How to convert carats to metric tons
1 carat is equal to 2.00000000e-7 metric ton:
1 ct = (0.2 g ÷ 1000000 g) t = 2.00000000e-7 t
Each carat is defined as 0.2 g and each metric ton as 1000000 g, so one ct equals 0.2 ÷ 1000000 t = 2.00000000e-7 t.
Let w(ct) be the numeric value of the same mass measured in Carat (ct), and w(t) the value in Metric Ton (t). Then:
w(t) = w(ct) × (0.2 / 1000000)
Equivalently, divide by how many ct fit into one t (grams per t divided by grams per ct):
w(t) = w(ct) ÷ 5000000
Or: metric ton = carat ÷ 5000000
Examples
Example #1: Convert 20 ct to metric ton
20 ct = 20 ct × (0.2/1000000) t = 0.000004 t
20 ct = 20 ct ÷ 5000000 = 0.000004 t
Example #2: Convert 50 ct to metric ton
50 ct = 50 ct × (0.2/1000000) t = 0.00001 t
50 ct = 50 ct ÷ 5000000 = 0.00001 t
Summary
To convert Carat to Metric Ton, multiply the value in ct by the ratio of grams per ct divided by grams per t. Equivalently: value_t = value_ct × (0.2 / 1000000). Numerically, 1 ct equals 2.0000000000000002e-7 t.
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 Metric Ton is 2.000000e-7 (1 ct = 2.0000000000000002e-7 t).
Conversion tables
| Carat (ct) | Metric Ton (t) |
|---|---|
| 0.1 | 0.00000002 |
| 1 | 0.0000002 |
| 2 | 0.0000004 |
| 3 | 0.0000006 |
| 4 | 0.0000008 |
| 5 | 0.000001 |
| 6 | 0.0000012 |
| 7 | 0.0000014 |
| 8 | 0.0000016 |
| 9 | 0.0000018 |
| Carat (ct) | Metric Ton (t) |
|---|---|
| 10 | 0.000002 |
| 20 | 0.000004 |
| 30 | 0.000006 |
| 40 | 0.000008 |
| 50 | 0.00001 |
| 60 | 0.000012 |
| 70 | 0.000014 |
| 80 | 0.000016 |
| 90 | 0.000018 |
| 100 | 0.00002 |