What is 7 and 6/8 as a Decimal?
Fraction to Decimal Converter
What is 7 6/8 as a decimal?
Answer
Fraction 7 6/8 as a decimal is
7.75
Exact, terminating: 6/8 = 3/4 · denominator 4 = 2 × 2 has only 2s and 5s · 2 decimal places
7 6/8: whole part, then 6 ÷ 8
Whole part 7 stays in front; divide the fraction part:
| remainder | ×10 | = digit × 8 + new remainder | digit |
|---|---|---|---|
| 6 | 60 | 7 × 8 + 4 | 7 |
| 4 | 40 | 5 × 8 + 0 | 5 |
The remainder reaches 0 after 2 steps → 0.75 ends.
7 + 0.75 = 7.75
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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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