What is 1/13 as a Decimal?
Fraction to Decimal Converter
What is 1/13 as a decimal?
Answer
Fraction 1/13 as a decimal is
0.076923
≈ 0.077 (two significant digits)
Repeating decimal: denominator 13 has the factor 13, not 2 or 5 · the bar marks the period 076923 — 6 digits repeat forever
1 ÷ 13 by long division
| remainder | ×10 | = digit × 13 + new remainder | digit |
|---|---|---|---|
| 1 | 10 | 0 × 13 + 10 | 0 |
| 10 | 100 | 7 × 13 + 9 | 7 |
| 9 | 90 | 6 × 13 + 12 | 6 |
| 12 | 120 | 9 × 13 + 3 | 9 |
| 3 | 30 | 2 × 13 + 4 | 2 |
| 4 | 40 | 3 × 13 + 1 | 3 |
Remainder 1 is back after the 6th division → the 6 digits 076923 repeat: 0.076923.
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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
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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 |