What is 5 and 8/7 as a Decimal?
Fraction to Decimal Converter
What is 5 8/7 as a decimal?
Answer
Fraction 5 8/7 as a decimal is
6.142857
≈ 6.14 to hundredths
Repeating decimal: denominator 7 has the factor 7, not 2 or 5 · the bar marks the period 142857 — 6 digits repeat forever
5 8/7: whole part, then 8 ÷ 7
8 = 1 × 7 + 1: whole part 5 + 1 = 6, then divide the remainder 1
| remainder | ×10 | = digit × 7 + new remainder | digit |
|---|---|---|---|
| 1 | 10 | 1 × 7 + 3 | 1 |
| 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 |
Remainder 1 is back after the 6th division → the 6 digits 142857 repeat: 0.142857.
6 + 0.142857 = 6.142857
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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 8/7 | 6.142857 |
| 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 |