What is 5 and 2/9 as a Decimal?
Fraction to Decimal Converter
What is 5 2/9 as a decimal?
Answer
Fraction 5 2/9 as a decimal is
5.2
≈ 5.22 to hundredths
Repeating decimal: denominator 9 = 3 × 3 has the factor 3, not 2 or 5 · the bar marks the period 2 — it repeats forever
5 2/9: whole part, then 2 ÷ 9
Whole part 5 stays in front; divide the fraction part:
| remainder | ×10 | = digit × 9 + new remainder | digit |
|---|---|---|---|
| 2 | 20 | 2 × 9 + 2 | 2 |
Remainder 2 is back after the 1st division → the digit 2 repeats forever: 0.2.
5 + 0.2 = 5.2
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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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