What is 8 and 10/7 as a Decimal?
Fraction to Decimal Converter
What is 8 10/7 as a decimal?
Answer
Fraction 8 10/7 as a decimal is
9.428571
≈ 9.43 to hundredths
Repeating decimal: denominator 7 has the factor 7, not 2 or 5 · the bar marks the period 428571 — 6 digits repeat forever
8 10/7: whole part, then 10 ÷ 7
10 = 1 × 7 + 3: whole part 8 + 1 = 9, then divide the remainder 3
| remainder | ×10 | = digit × 7 + new remainder | digit |
|---|---|---|---|
| 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 |
| 1 | 10 | 1 × 7 + 3 | 1 |
Remainder 3 is back after the 6th division → the 6 digits 428571 repeat: 0.428571.
9 + 0.428571 = 9.428571
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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 10/7 | 9.428571 |
| 8 10/11 | 8.90 |
| 8 10/12 | 8.83 |
| 8 10/13 | 8.769230 |
| 8 10/14 | 8.714285 |
| 8 10/15 | 8.6 |
| 8 10/16 | 8.625 |
| 8 10/17 | 8.5882352941176470 |
| 8 10/18 | 8.5 |
| 8 10/19 | 8.526315789473684210 |
| 8 10/20 | 8.5 |
| 8 10/21 | 8.476190 |
| 8 10/22 | 8.45 |
| 8 10/23 | 8.43478260869565… |
| 8 10/24 | 8.416 |
| 8 10/25 | 8.4 |
| 8 10/26 | 8.384615 |
| 8 10/27 | 8.370 |
| 8 10/28 | 8.3571428 |
| 8 10/29 | 8.34482758620689… |
| 8 10/30 | 8.3 |