What is 5/21 as a Decimal?
Fraction to Decimal Converter
What is 5/21 as a decimal?
Answer
Fraction 5/21 as a decimal is
0.238095
≈ 0.24 to hundredths
Repeating decimal: denominator 21 = 3 × 7 has the factor 3, 7, not 2 or 5 · the bar marks the period 238095 — 6 digits repeat forever
5 ÷ 21 by long division
| remainder | ×10 | = digit × 21 + new remainder | digit |
|---|---|---|---|
| 5 | 50 | 2 × 21 + 8 | 2 |
| 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 |
Remainder 5 is back after the 6th division → the 6 digits 238095 repeat: 0.238095.
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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 |
|---|---|
| 5/6 | 0.83 |
| 5/7 | 0.714285 |
| 5/8 | 0.625 |
| 5/9 | 0.5 |
| 5/10 | 0.5 |
| 5/11 | 0.45 |
| 5/12 | 0.416 |
| 5/13 | 0.384615 |
| 5/14 | 0.3571428 |
| 5/15 | 0.3 |
| 5/16 | 0.3125 |
| 5/17 | 0.2941176470588235 |
| 5/18 | 0.27 |
| 5/19 | 0.263157894736842105 |
| 5/20 | 0.25 |
| 5/21 | 0.238095 |
| 5/22 | 0.227 |
| 5/23 | 0.21739130434782… |
| 5/24 | 0.2083 |
| 5/25 | 0.2 |
| 5/26 | 0.1923076 |
| 5/27 | 0.185 |
| 5/28 | 0.17857142 |
| 5/29 | 0.17241379310344… |
| 5/30 | 0.16 |
| 5/31 | 0.161290322580645 |
| 5/32 | 0.15625 |
| 5/33 | 0.15 |
| 5/34 | 0.14705882352941176 |
| 5/35 | 0.142857 |