What is 5 and 1/11 as a Decimal?
Fraction to Decimal Converter
What is 5 1/11 as a decimal?
Answer
Fraction 5 1/11 as a decimal is
5.09
≈ 5.09 to hundredths
Repeating decimal: denominator 11 has the factor 11, not 2 or 5 · the bar marks the period 09 — 2 digits repeat forever
5 1/11: whole part, then 1 ÷ 11
Whole part 5 stays in front; divide the fraction part:
| remainder | ×10 | = digit × 11 + new remainder | digit |
|---|---|---|---|
| 1 | 10 | 0 × 11 + 10 | 0 |
| 10 | 100 | 9 × 11 + 1 | 9 |
Remainder 1 is back after the 2nd division → the 2 digits 09 repeat: 0.09.
5 + 0.09 = 5.09
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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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