What is 1/3 as a Decimal?
Fraction to Decimal Converter
What is 1/3 as a decimal?
Answer
Fraction 1/3 as a decimal is
0.3
≈ 0.33 to hundredths
Repeating decimal: denominator 3 has the factor 3, not 2 or 5 · the bar marks the period 3 — it repeats forever
1 ÷ 3 by long division
| remainder | ×10 | = digit × 3 + new remainder | digit |
|---|---|---|---|
| 1 | 10 | 3 × 3 + 1 | 3 |
Remainder 1 is back after the 1st division → the digit 3 repeats forever: 0.3.
Related Calculations
See Also
- Decimal to Fraction Converter - Convert Decimal to Fraction
- Decimal to Percent Converter - Convert Decimals to Percentages
- Percent to Decimal Converter - Convert Percents to Decimal
Fraction to Decimal Conversion Table
| Fraction | Decimal |
|---|---|
| 1/1 | 1 |
| 1/2 | 0.5 |
| 1/3 | 0.3 |
| 1/4 | 0.25 |
| 1/5 | 0.2 |
| 1/6 | 0.16 |
| 1/7 | 0.142857 |
| 1/8 | 0.125 |
| 1/9 | 0.1 |
| 1/10 | 0.1 |
| 1/11 | 0.09 |
| 1/12 | 0.083 |
| 1/13 | 0.076923 |
| 1/14 | 0.0714285 |
| 1/15 | 0.06 |
| 1/16 | 0.0625 |
| 1/17 | 0.0588235294117647 |
| 1/18 | 0.05 |
| 1/19 | 0.052631578947368421 |
| 1/20 | 0.05 |
| 1/21 | 0.047619 |
| 1/22 | 0.045 |
| 1/23 | 0.04347826086956… |
| 1/24 | 0.0416 |
| 1/25 | 0.04 |
| 1/26 | 0.0384615 |
| 1/27 | 0.037 |
| 1/28 | 0.03571428 |
| 1/29 | 0.03448275862068… |
| 1/30 | 0.03 |
FAQ
What is 1/3 as a decimal?
Fraction 1/3 as a decimal is 0.(3)
How do you convert 1/3 to a decimal?
To convert 1/3 to a decimal, divide the numerator by the denominator: 1 ÷ 3 = 0.(3).
Why is 1/3 a repeating decimal?
In lowest terms its denominator 3 has the prime factor 3, so the division never ends: a remainder comes back and the same digits repeat forever.
What is 1/3 as a percent?
Multiply by 100: 1/3 ≈ 33.33%.