What is 1/7 as a Decimal?
Fraction to Decimal Converter
What is 1/7 as a decimal?
Answer
Fraction 1/7 as a decimal is
0.142857
≈ 0.14 to hundredths
Repeating decimal: denominator 7 has the factor 7, not 2 or 5 · the bar marks the period 142857 — 6 digits repeat forever
1 ÷ 7 by long division
| remainder | ×10 | = digit × 7 + new remainder | digit |
|---|---|---|---|
| 1 | 10 | 1 × 7 + 3 | 1 |
| 3 | 30 | 4 × 7 + 2 | 4 |
| 2 | 20 | 2 × 7 + 6 | 2 |
| 6 | 60 | 8 × 7 + 4 | 8 |
| 4 | 40 | 5 × 7 + 5 | 5 |
| 5 | 50 | 7 × 7 + 1 | 7 |
Remainder 1 is back after the 6th division → the 6 digits 142857 repeat: 0.142857.
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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 |