What is 8 and 9/7 as a Decimal?
Fraction to Decimal Converter
What is 8 9/7 as a decimal?
Answer
Fraction 8 9/7 as a decimal is
9.285714
≈ 9.29 to hundredths
Repeating decimal: denominator 7 has the factor 7, not 2 or 5 · the bar marks the period 285714 — 6 digits repeat forever
8 9/7: whole part, then 9 ÷ 7
9 = 1 × 7 + 2: whole part 8 + 1 = 9, then divide the remainder 2
| remainder | ×10 | = digit × 7 + new remainder | digit |
|---|---|---|---|
| 2 | 20 | 2 × 7 + 6 | 2 |
| 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 |
Remainder 2 is back after the 6th division → the 6 digits 285714 repeat: 0.285714.
9 + 0.285714 = 9.285714
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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 9/7 | 9.285714 |
| 8 9/10 | 8.9 |
| 8 9/11 | 8.81 |
| 8 9/12 | 8.75 |
| 8 9/13 | 8.692307 |
| 8 9/14 | 8.6428571 |
| 8 9/15 | 8.6 |
| 8 9/16 | 8.5625 |
| 8 9/17 | 8.5294117647058823 |
| 8 9/18 | 8.5 |
| 8 9/19 | 8.473684210526315789 |
| 8 9/20 | 8.45 |
| 8 9/21 | 8.428571 |
| 8 9/22 | 8.409 |
| 8 9/23 | 8.39130434782608… |
| 8 9/24 | 8.375 |
| 8 9/25 | 8.36 |
| 8 9/26 | 8.3461538 |
| 8 9/27 | 8.3 |
| 8 9/28 | 8.32142857 |
| 8 9/29 | 8.31034482758620… |
| 8 9/30 | 8.3 |