What is 8/21 as a Decimal?
Fraction to Decimal Converter
What is 8/21 as a decimal?
Answer
Fraction 8/21 as a decimal is
0.380952
≈ 0.38 to hundredths
Repeating decimal: denominator 21 = 3 × 7 has the factor 3, 7, not 2 or 5 · the bar marks the period 380952 — 6 digits repeat forever
8 ÷ 21 by long division
| remainder | ×10 | = digit × 21 + new remainder | digit |
|---|---|---|---|
| 8 | 80 | 3 × 21 + 17 | 3 |
| 17 | 170 | 8 × 21 + 2 | 8 |
| 2 | 20 | 0 × 21 + 20 | 0 |
| 20 | 200 | 9 × 21 + 11 | 9 |
| 11 | 110 | 5 × 21 + 5 | 5 |
| 5 | 50 | 2 × 21 + 8 | 2 |
Remainder 8 is back after the 6th division → the 6 digits 380952 repeat: 0.380952.
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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 | 1.3 |
| 8/7 | 1.142857 |
| 8/8 | 1 |
| 8/9 | 0.8 |
| 8/10 | 0.8 |
| 8/11 | 0.72 |
| 8/12 | 0.6 |
| 8/13 | 0.615384 |
| 8/14 | 0.571428 |
| 8/15 | 0.53 |
| 8/16 | 0.5 |
| 8/17 | 0.4705882352941176 |
| 8/18 | 0.4 |
| 8/19 | 0.421052631578947368 |
| 8/20 | 0.4 |
| 8/21 | 0.380952 |
| 8/22 | 0.36 |
| 8/23 | 0.34782608695652… |
| 8/24 | 0.3 |
| 8/25 | 0.32 |
| 8/26 | 0.307692 |
| 8/27 | 0.296 |
| 8/28 | 0.285714 |
| 8/29 | 0.27586206896551… |
| 8/30 | 0.26 |
| 8/31 | 0.258064516129032 |
| 8/32 | 0.25 |
| 8/33 | 0.24 |
| 8/34 | 0.2352941176470588 |
| 8/35 | 0.2285714 |