What is 2 and 7/12 as a Decimal?
Fraction to Decimal Converter
What is 2 7/12 as a decimal?
Answer
Fraction 2 7/12 as a decimal is
2.583
≈ 2.58 to hundredths
Repeating decimal: denominator 12 = 2 × 2 × 3 has the factor 3, not 2 or 5 · the bar marks the period 3 — it repeats forever
2 7/12: whole part, then 7 ÷ 12
Whole part 2 stays in front; divide the fraction part:
| remainder | ×10 | = digit × 12 + new remainder | digit |
|---|---|---|---|
| 7 | 70 | 5 × 12 + 10 | 5 |
| 10 | 100 | 8 × 12 + 4 | 8 |
| 4 | 40 | 3 × 12 + 4 | 3 |
Remainder 4 repeats from the 3rd digit on → 0.583.
2 + 0.583 = 2.583
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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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