3/14 as a decimal
3/14 as a decimal is 0.2142857… (the digits 142857 repeat forever), which is 0.21 rounded to 2 decimal places.
Change either number to try your own. The digits 142857 repeat. Rounded to 2 places: 0.21. In lowest terms: 3/14.
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 14.
- 2
14 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 14, and write the digit. A remainder comes back after 7 steps, so the digits 142857 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{3}{14} = 0.2\overline{142857} \]
\[ \frac{3}{14} = 3 \div 14 \]Long division of 3 by 14
| Step | Remainder × 10 | Divide by 14 | Remainder left |
|---|---|---|---|
| 1 | 30 | 30 ÷ 14 = 2 | 2 |
| 2 | 20 | 20 ÷ 14 = 1 | 6 |
| 3 | 60 | 60 ÷ 14 = 4 | 4 |
| 4 | 40 | 40 ÷ 14 = 2 | 12 |
| 5 | 120 | 120 ÷ 14 = 8 | 8 |
| 6 | 80 | 80 ÷ 14 = 5 | 10 |
| 7 | 100 | 100 ÷ 14 = 7 | 2 |
Questions
What is 3/14 as a decimal?
3/14 as a decimal is 0.2142857… (the digits 142857 repeat forever), which is 0.21 rounded to 2 decimal places.
Is 3/14 a terminating or a repeating decimal?
It repeats. The bottom number 14 = 2 × 7 has a prime factor other than 2 and 5, so the division never ends and the block 142857 (6 digits) repeats.
What is 3/14 as a percent?
3/14 is 21.428571…% as a percent.
How do I round 3/14 to 2 decimal places?
3/14 rounded to 2 decimal places is 0.21.