What is 8 and 6/7 as a Decimal?
Fraction to Decimal Converter
What is 8 6/7 as a decimal?
Answer
Fraction 8 6/7 as a decimal is
8.857142
≈ 8.86 to hundredths
Repeating decimal: denominator 7 has the factor 7, not 2 or 5 · the bar marks the period 857142 — 6 digits repeat forever
8 6/7: whole part, then 6 ÷ 7
Whole part 8 stays in front; divide the fraction part:
| remainder | ×10 | = digit × 7 + new remainder | digit |
|---|---|---|---|
| 6 | 60 | 8 × 7 + 4 | 8 |
| 4 | 40 | 5 × 7 + 5 | 5 |
| 5 | 50 | 7 × 7 + 1 | 7 |
| 1 | 10 | 1 × 7 + 3 | 1 |
| 3 | 30 | 4 × 7 + 2 | 4 |
| 2 | 20 | 2 × 7 + 6 | 2 |
Remainder 6 is back after the 6th division → the 6 digits 857142 repeat: 0.857142.
8 + 0.857142 = 8.857142
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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 |
|---|---|
| 8 6/7 | 8.857142 |
| 8 6/8 | 8.75 |
| 8 6/9 | 8.6 |
| 8 6/10 | 8.6 |
| 8 6/11 | 8.54 |
| 8 6/12 | 8.5 |
| 8 6/13 | 8.461538 |
| 8 6/14 | 8.428571 |
| 8 6/15 | 8.4 |
| 8 6/16 | 8.375 |
| 8 6/17 | 8.3529411764705882 |
| 8 6/18 | 8.3 |
| 8 6/19 | 8.315789473684210526 |
| 8 6/20 | 8.3 |
| 8 6/21 | 8.285714 |
| 8 6/22 | 8.27 |
| 8 6/23 | 8.26086956521739… |
| 8 6/24 | 8.25 |
| 8 6/25 | 8.24 |
| 8 6/26 | 8.230769 |
| 8 6/27 | 8.2 |
| 8 6/28 | 8.2142857 |
| 8 6/29 | 8.20689655172413… |
| 8 6/30 | 8.2 |