What is 10 and 5/11 as a Decimal?
Fraction to Decimal Converter
What is 10 5/11 as a decimal?
Answer
Fraction 10 5/11 as a decimal is
10.45
≈ 10.45 to hundredths
Repeating decimal: denominator 11 has the factor 11, not 2 or 5 · the bar marks the period 45 — 2 digits repeat forever
10 5/11: whole part, then 5 ÷ 11
Whole part 10 stays in front; divide the fraction part:
| remainder | ×10 | = digit × 11 + new remainder | digit |
|---|---|---|---|
| 5 | 50 | 4 × 11 + 6 | 4 |
| 6 | 60 | 5 × 11 + 5 | 5 |
Remainder 5 is back after the 2nd division → the 2 digits 45 repeat: 0.45.
10 + 0.45 = 10.45
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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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