Microgram to Carat Converter
Weight · unit-converter
Convert Microgram to Carat 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: Microgram (ug)
To: Carat (ct)
About Microgram
The microgram is one millionth of a gram. It appears in pharmacology and trace analysis.
About Carat
The metric carat is exactly 0.2 grams (200 mg), commonly used for gemstones and jewelry.
How to convert micrograms to carats
1 microgram is equal to 0.000005 carat:
1 ug = (0.000001 g ÷ 0.2 g) ct = 0.000005 ct
Each microgram is defined as 0.000001 g and each carat as 0.2 g, so one ug equals 0.000001 ÷ 0.2 ct = 0.000005 ct.
Let w(ug) be the numeric value of the same mass measured in Microgram (ug), and w(ct) the value in Carat (ct). Then:
w(ct) = w(ug) × (0.000001 / 0.2)
Equivalently, divide by how many ug fit into one ct (grams per ct divided by grams per ug):
w(ct) = w(ug) ÷ 200000.0000000000291
Or: carat = microgram ÷ 200000.0000000000291
Examples
Example #1: Convert 20 ug to carat
20 ug = 20 ug × (0.000001/0.2) ct = 0.0001 ct
20 ug = 20 ug ÷ 200000.0000000000291 = 0.0001 ct
Example #2: Convert 50 ug to carat
50 ug = 50 ug × (0.000001/0.2) ct = 0.00025 ct
50 ug = 50 ug ÷ 200000.0000000000291 = 0.00025 ct
Summary
To convert Microgram to Carat, multiply the value in ug by the ratio of grams per ug divided by grams per ct. Equivalently: value_ct = value_ug × (0.000001 / 0.2). Numerically, 1 ug equals 0.0000049999999999999996 ct.
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 Microgram to Carat is 5.000000e-6 (1 ug = 0.0000049999999999999996 ct).
Conversion tables
| Microgram (ug) | Carat (ct) |
|---|---|
| 0.1 | 0.0000005 |
| 1 | 0.000005 |
| 2 | 0.00001 |
| 3 | 0.000015 |
| 4 | 0.00002 |
| 5 | 0.000025 |
| 6 | 0.00003 |
| 7 | 0.000035 |
| 8 | 0.00004 |
| 9 | 0.000045 |
| Microgram (ug) | Carat (ct) |
|---|---|
| 10 | 0.00005 |
| 20 | 0.0001 |
| 30 | 0.00015 |
| 40 | 0.0002 |
| 50 | 0.00025 |
| 60 | 0.0003 |
| 70 | 0.00035 |
| 80 | 0.0004 |
| 90 | 0.00045 |
| 100 | 0.0005 |