What is 3 and 7/11 as a Decimal?
Fraction to Decimal Converter
What is 3 7/11 as a decimal?
Answer
Fraction 3 7/11 as a decimal is
3.63
≈ 3.64 to hundredths
Repeating decimal: denominator 11 has the factor 11, not 2 or 5 · the bar marks the period 63 — 2 digits repeat forever
3 7/11: whole part, then 7 ÷ 11
Whole part 3 stays in front; divide the fraction part:
| remainder | ×10 | = digit × 11 + new remainder | digit |
|---|---|---|---|
| 7 | 70 | 6 × 11 + 4 | 6 |
| 4 | 40 | 3 × 11 + 7 | 3 |
Remainder 7 is back after the 2nd division → the 2 digits 63 repeat: 0.63.
3 + 0.63 = 3.63
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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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