What is 5 and 2/13 as a Decimal?
Fraction to Decimal Converter
What is 5 2/13 as a decimal?
Answer
Fraction 5 2/13 as a decimal is
5.153846
≈ 5.15 to hundredths
Repeating decimal: denominator 13 has the factor 13, not 2 or 5 · the bar marks the period 153846 — 6 digits repeat forever
5 2/13: whole part, then 2 ÷ 13
Whole part 5 stays in front; divide the fraction part:
| remainder | ×10 | = digit × 13 + new remainder | digit |
|---|---|---|---|
| 2 | 20 | 1 × 13 + 7 | 1 |
| 7 | 70 | 5 × 13 + 5 | 5 |
| 5 | 50 | 3 × 13 + 11 | 3 |
| 11 | 110 | 8 × 13 + 6 | 8 |
| 6 | 60 | 4 × 13 + 8 | 4 |
| 8 | 80 | 6 × 13 + 2 | 6 |
Remainder 2 is back after the 6th division → the 6 digits 153846 repeat: 0.153846.
5 + 0.153846 = 5.153846
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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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