What is 2 and 8/17 as a Decimal?
Fraction to Decimal Converter
What is 2 8/17 as a decimal?
Answer
Fraction 2 8/17 as a decimal is
2.4705882352941176
≈ 2.47 to hundredths
Repeating decimal: denominator 17 has the factor 17, not 2 or 5 · the bar marks the period 4705882352941176 — 16 digits repeat forever
2 8/17: whole part, then 8 ÷ 17
Whole part 2 stays in front; divide the fraction part:
| remainder | ×10 | = digit × 17 + new remainder | digit |
|---|---|---|---|
| 8 | 80 | 4 × 17 + 12 | 4 |
| 12 | 120 | 7 × 17 + 1 | 7 |
| 1 | 10 | 0 × 17 + 10 | 0 |
| … 11 more division steps … | |||
| 13 | 130 | 7 × 17 + 11 | 7 |
| 11 | 110 | 6 × 17 + 8 | 6 |
Remainder 8 is back after the 16th division → the 16 digits 4705882352941176 repeat: 0.4705882352941176.
2 + 0.4705882352941176 = 2.4705882352941176
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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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