What is 5 and 8/13 as a Decimal?
Fraction to Decimal Converter
What is 5 8/13 as a decimal?
Answer
Fraction 5 8/13 as a decimal is
5.615384
≈ 5.62 to hundredths
Repeating decimal: denominator 13 has the factor 13, not 2 or 5 · the bar marks the period 615384 — 6 digits repeat forever
5 8/13: whole part, then 8 ÷ 13
Whole part 5 stays in front; divide the fraction part:
| remainder | ×10 | = digit × 13 + new remainder | digit |
|---|---|---|---|
| 8 | 80 | 6 × 13 + 2 | 6 |
| 2 | 20 | 1 × 13 + 7 | 1 |
| 7 | 70 | 5 × 13 + 5 | 5 |
| 5 | 50 | 3 × 13 + 11 | 3 |
| 11 | 110 | 8 × 13 + 6 | 8 |
| 6 | 60 | 4 × 13 + 8 | 4 |
Remainder 8 is back after the 6th division → the 6 digits 615384 repeat: 0.615384.
5 + 0.615384 = 5.615384
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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 8/9 | 5.8 |
| 5 8/10 | 5.8 |
| 5 8/11 | 5.72 |
| 5 8/12 | 5.6 |
| 5 8/13 | 5.615384 |
| 5 8/14 | 5.571428 |
| 5 8/15 | 5.53 |
| 5 8/16 | 5.5 |
| 5 8/17 | 5.4705882352941176 |
| 5 8/18 | 5.4 |
| 5 8/19 | 5.421052631578947368 |
| 5 8/20 | 5.4 |
| 5 8/21 | 5.380952 |
| 5 8/22 | 5.36 |
| 5 8/23 | 5.34782608695652… |
| 5 8/24 | 5.3 |
| 5 8/25 | 5.32 |
| 5 8/26 | 5.307692 |
| 5 8/27 | 5.296 |
| 5 8/28 | 5.285714 |
| 5 8/29 | 5.27586206896551… |
| 5 8/30 | 5.26 |