What is 7 and 1/17 as a Decimal?
Fraction to Decimal Converter
What is 7 1/17 as a decimal?
Answer
Fraction 7 1/17 as a decimal is
7.0588235294117647
≈ 7.06 to hundredths
Repeating decimal: denominator 17 has the factor 17, not 2 or 5 · the bar marks the period 0588235294117647 — 16 digits repeat forever
7 1/17: whole part, then 1 ÷ 17
Whole part 7 stays in front; divide the fraction part:
| remainder | ×10 | = digit × 17 + new remainder | digit |
|---|---|---|---|
| 1 | 10 | 0 × 17 + 10 | 0 |
| 10 | 100 | 5 × 17 + 15 | 5 |
| 15 | 150 | 8 × 17 + 14 | 8 |
| … 11 more division steps … | |||
| 8 | 80 | 4 × 17 + 12 | 4 |
| 12 | 120 | 7 × 17 + 1 | 7 |
Remainder 1 is back after the 16th division → the 16 digits 0588235294117647 repeat: 0.0588235294117647.
7 + 0.0588235294117647 = 7.0588235294117647
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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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