3/7 as a decimal
3/7 as a decimal is 0.428571… (the digits 428571 repeat forever), which is 0.43 rounded to 2 decimal places.
Change either number to try your own. The digits 428571 repeat. Rounded to 2 places: 0.43. In lowest terms: 3/7.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 3 by the bottom number 7.
- 2
7 does not go into 3 even once, so the whole part is 0 and we carry on after the decimal point.
- 3
Long division: bring down a zero each time (multiply the remainder by 10), divide by 7, and write the digit. A remainder comes back after 6 steps, so the digits 428571 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{3}{7} = 0.\overline{428571} \]
\[ \frac{3}{7} = 3 \div 7 \]Long division of 3 by 7
| Step | Remainder × 10 | Divide by 7 | Remainder left |
|---|---|---|---|
| 1 | 30 | 30 ÷ 7 = 4 | 2 |
| 2 | 20 | 20 ÷ 7 = 2 | 6 |
| 3 | 60 | 60 ÷ 7 = 8 | 4 |
| 4 | 40 | 40 ÷ 7 = 5 | 5 |
| 5 | 50 | 50 ÷ 7 = 7 | 1 |
| 6 | 10 | 10 ÷ 7 = 1 | 3 |
Questions
What is 3/7 as a decimal?
3/7 as a decimal is 0.428571… (the digits 428571 repeat forever), which is 0.43 rounded to 2 decimal places.
Is 3/7 a terminating or a repeating decimal?
It repeats. The bottom number 7 = 7 has a prime factor other than 2 and 5, so the division never ends and the block 428571 (6 digits) repeats.
What is 3/7 as a percent?
3/7 is 42.857142…% as a percent.
How do I round 3/7 to 2 decimal places?
3/7 rounded to 2 decimal places is 0.43.