What is 10 and 5/9 as a Decimal?
Fraction to Decimal Converter
What is 10 5/9 as a decimal?
Answer
Fraction 10 5/9 as a decimal is
10.5
≈ 10.56 to hundredths
Repeating decimal: denominator 9 = 3 × 3 has the factor 3, not 2 or 5 · the bar marks the period 5 — it repeats forever
10 5/9: whole part, then 5 ÷ 9
Whole part 10 stays in front; divide the fraction part:
| remainder | ×10 | = digit × 9 + new remainder | digit |
|---|---|---|---|
| 5 | 50 | 5 × 9 + 5 | 5 |
Remainder 5 is back after the 1st division → the digit 5 repeats forever: 0.5.
10 + 0.5 = 10.5
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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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