What is 3 and 8/3 as a Decimal?
Fraction to Decimal Converter
What is 3 8/3 as a decimal?
Answer
Fraction 3 8/3 as a decimal is
5.6
≈ 5.67 to hundredths
Repeating decimal: denominator 3 has the factor 3, not 2 or 5 · the bar marks the period 6 — it repeats forever
3 8/3: whole part, then 8 ÷ 3
8 = 2 × 3 + 2: whole part 3 + 2 = 5, then divide the remainder 2
| 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.
5 + 0.6 = 5.6
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- 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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