What is 3 and 8/11 as a Decimal?
Fraction to Decimal Converter
What is 3 8/11 as a decimal?
Answer
Fraction 3 8/11 as a decimal is
3.72
≈ 3.73 to hundredths
Repeating decimal: denominator 11 has the factor 11, not 2 or 5 · the bar marks the period 72 — 2 digits repeat forever
3 8/11: whole part, then 8 ÷ 11
Whole part 3 stays in front; divide the fraction part:
| remainder | ×10 | = digit × 11 + new remainder | digit |
|---|---|---|---|
| 8 | 80 | 7 × 11 + 3 | 7 |
| 3 | 30 | 2 × 11 + 8 | 2 |
Remainder 8 is back after the 2nd division → the 2 digits 72 repeat: 0.72.
3 + 0.72 = 3.72
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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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