What is 8 and 4/11 as a Decimal?
Fraction to Decimal Converter
What is 8 4/11 as a decimal?
Answer
Fraction 8 4/11 as a decimal is
8.36
≈ 8.36 to hundredths
Repeating decimal: denominator 11 has the factor 11, not 2 or 5 · the bar marks the period 36 — 2 digits repeat forever
8 4/11: whole part, then 4 ÷ 11
Whole part 8 stays in front; divide the fraction part:
| remainder | ×10 | = digit × 11 + new remainder | digit |
|---|---|---|---|
| 4 | 40 | 3 × 11 + 7 | 3 |
| 7 | 70 | 6 × 11 + 4 | 6 |
Remainder 4 is back after the 2nd division → the 2 digits 36 repeat: 0.36.
8 + 0.36 = 8.36
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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 4/5 | 8.8 |
| 8 4/6 | 8.6 |
| 8 4/7 | 8.571428 |
| 8 4/8 | 8.5 |
| 8 4/9 | 8.4 |
| 8 4/10 | 8.4 |
| 8 4/11 | 8.36 |
| 8 4/12 | 8.3 |
| 8 4/13 | 8.307692 |
| 8 4/14 | 8.285714 |
| 8 4/15 | 8.26 |
| 8 4/16 | 8.25 |
| 8 4/17 | 8.2352941176470588 |
| 8 4/18 | 8.2 |
| 8 4/19 | 8.210526315789473684 |
| 8 4/20 | 8.2 |
| 8 4/21 | 8.190476 |
| 8 4/22 | 8.18 |
| 8 4/23 | 8.17391304347826… |
| 8 4/24 | 8.16 |
| 8 4/25 | 8.16 |
| 8 4/26 | 8.153846 |
| 8 4/27 | 8.148 |
| 8 4/28 | 8.142857 |
| 8 4/29 | 8.13793103448275… |
| 8 4/30 | 8.13 |