What is 3 and 2/16 as a Decimal?
Fraction to Decimal Converter
What is 3 2/16 as a decimal?
Answer
Fraction 3 2/16 as a decimal is
3.125
Exact, terminating: 2/16 = 1/8 · denominator 8 = 2 × 2 × 2 has only 2s and 5s · 3 decimal places
3 2/16: whole part, then 2 ÷ 16
Whole part 3 stays in front; divide the fraction part:
| remainder | ×10 | = digit × 16 + new remainder | digit |
|---|---|---|---|
| 2 | 20 | 1 × 16 + 4 | 1 |
| 4 | 40 | 2 × 16 + 8 | 2 |
| 8 | 80 | 5 × 16 + 0 | 5 |
The remainder reaches 0 after 3 steps → 0.125 ends.
3 + 0.125 = 3.125
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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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