What is 3 and 2/3 as a Decimal?
Fraction to Decimal Converter
What is 3 2/3 as a decimal?
Answer
Fraction 3 2/3 as a decimal is
3.6
≈ 3.67 to hundredths
Repeating decimal: denominator 3 has the factor 3, not 2 or 5 · the bar marks the period 6 — it repeats forever
3 2/3: whole part, then 2 ÷ 3
Whole part 3 stays in front; divide the fraction part:
| remainder | ×10 | = digit × 3 + new remainder | digit |
|---|---|---|---|
| 2 | 20 | 6 × 3 + 2 | 6 |
Remainder 2 is back after the 1st division → the digit 6 repeats forever: 0.6.
3 + 0.6 = 3.6
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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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