What is 7 and 1/6 as a Decimal?
Fraction to Decimal Converter
What is 7 1/6 as a decimal?
Answer
Fraction 7 1/6 as a decimal is
7.16
≈ 7.17 to hundredths
Repeating decimal: denominator 6 = 2 × 3 has the factor 3, not 2 or 5 · the bar marks the period 6 — it repeats forever
7 1/6: whole part, then 1 ÷ 6
Whole part 7 stays in front; divide the fraction part:
| remainder | ×10 | = digit × 6 + new remainder | digit |
|---|---|---|---|
| 1 | 10 | 1 × 6 + 4 | 1 |
| 4 | 40 | 6 × 6 + 4 | 6 |
Remainder 4 repeats from the 2nd digit on → 0.16.
7 + 0.16 = 7.16
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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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