What is 1 and 10/7 as a Decimal?
Fraction to Decimal Converter
What is 1 10/7 as a decimal?
Answer
Fraction 1 10/7 as a decimal is
2.428571
≈ 2.43 to hundredths
Repeating decimal: denominator 7 has the factor 7, not 2 or 5 · the bar marks the period 428571 — 6 digits repeat forever
1 10/7: whole part, then 10 ÷ 7
10 = 1 × 7 + 3: whole part 1 + 1 = 2, then divide the remainder 3
| remainder | ×10 | = digit × 7 + new remainder | digit |
|---|---|---|---|
| 3 | 30 | 4 × 7 + 2 | 4 |
| 2 | 20 | 2 × 7 + 6 | 2 |
| 6 | 60 | 8 × 7 + 4 | 8 |
| 4 | 40 | 5 × 7 + 5 | 5 |
| 5 | 50 | 7 × 7 + 1 | 7 |
| 1 | 10 | 1 × 7 + 3 | 1 |
Remainder 3 is back after the 6th division → the 6 digits 428571 repeat: 0.428571.
2 + 0.428571 = 2.428571
Found an error in the calculation or the information?
Related Calculations
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
Share This Calculation
Print
<a href="https://calculat.io/en/number/fraction-as-a-decimal/1--10--7">1 10/7 as a decimal - Calculatio</a>Facebook
Twitter
Telegram
WhatsApp
Viber
Email
