What is 10 and 7/15 as a Decimal?
Fraction to Decimal Converter
What is 10 7/15 as a decimal?
Answer
Fraction 10 7/15 as a decimal is
10.46
≈ 10.47 to hundredths
Repeating decimal: denominator 15 = 3 × 5 has the factor 3, not 2 or 5 · the bar marks the period 6 — it repeats forever
10 7/15: whole part, then 7 ÷ 15
Whole part 10 stays in front; divide the fraction part:
| remainder | ×10 | = digit × 15 + new remainder | digit |
|---|---|---|---|
| 7 | 70 | 4 × 15 + 10 | 4 |
| 10 | 100 | 6 × 15 + 10 | 6 |
Remainder 10 repeats from the 2nd digit on → 0.46.
10 + 0.46 = 10.46
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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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