What is 7 and 6/7 as a Decimal?
Fraction to Decimal Converter
What is 7 6/7 as a decimal?
Answer
Fraction 7 6/7 as a decimal is
7.857142
≈ 7.86 to hundredths
Repeating decimal: denominator 7 has the factor 7, not 2 or 5 · the bar marks the period 857142 — 6 digits repeat forever
7 6/7: whole part, then 6 ÷ 7
Whole part 7 stays in front; divide the fraction part:
| remainder | ×10 | = digit × 7 + new remainder | digit |
|---|---|---|---|
| 6 | 60 | 8 × 7 + 4 | 8 |
| 4 | 40 | 5 × 7 + 5 | 5 |
| 5 | 50 | 7 × 7 + 1 | 7 |
| 1 | 10 | 1 × 7 + 3 | 1 |
| 3 | 30 | 4 × 7 + 2 | 4 |
| 2 | 20 | 2 × 7 + 6 | 2 |
Remainder 6 is back after the 6th division → the 6 digits 857142 repeat: 0.857142.
7 + 0.857142 = 7.857142
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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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