What is 7 and 4/3 as a Decimal?
Fraction to Decimal Converter
What is 7 4/3 as a decimal?
Answer
Fraction 7 4/3 as a decimal is
8.3
≈ 8.33 to hundredths
Repeating decimal: denominator 3 has the factor 3, not 2 or 5 · the bar marks the period 3 — it repeats forever
7 4/3: whole part, then 4 ÷ 3
4 = 1 × 3 + 1: whole part 7 + 1 = 8, then divide the remainder 1
| remainder | ×10 | = digit × 3 + new remainder | digit |
|---|---|---|---|
| 1 | 10 | 3 × 3 + 1 | 3 |
Remainder 1 is back after the 1st division → the digit 3 repeats forever: 0.3.
8 + 0.3 = 8.3
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- 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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