10/29 as a decimal
10/29 as a decimal is 0.3448275862068965517241379310… (the digits 3448275862068965517241379310 repeat forever), which is 0.34 rounded to 2 decimal places.
Change either number to try your own. The digits 3448275862068965517241379310 repeat. Rounded to 2 places: 0.34. In lowest terms: 10/29.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 10 by the bottom number 29.
- 2
29 does not go into 10 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 29, and write the digit. A remainder comes back after 28 steps, so the digits 3448275862068965517241379310 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{10}{29} = 0.\overline{3448275862068965517241379310} \]
\[ \frac{10}{29} = 10 \div 29 \]Long division of 10 by 29
| Step | Remainder × 10 | Divide by 29 | Remainder left |
|---|---|---|---|
| 1 | 100 | 100 ÷ 29 = 3 | 13 |
| 2 | 130 | 130 ÷ 29 = 4 | 14 |
| 3 | 140 | 140 ÷ 29 = 4 | 24 |
| 4 | 240 | 240 ÷ 29 = 8 | 8 |
| 5 | 80 | 80 ÷ 29 = 2 | 22 |
| 6 | 220 | 220 ÷ 29 = 7 | 17 |
| 7 | 170 | 170 ÷ 29 = 5 | 25 |
| 8 | 250 | 250 ÷ 29 = 8 | 18 |
| 9 | 180 | 180 ÷ 29 = 6 | 6 |
| 10 | 60 | 60 ÷ 29 = 2 | 2 |
| 11 | 20 | 20 ÷ 29 = 0 | 20 |
| 12 | 200 | 200 ÷ 29 = 6 | 26 |
Questions
What is 10/29 as a decimal?
10/29 as a decimal is 0.3448275862068965517241379310… (the digits 3448275862068965517241379310 repeat forever), which is 0.34 rounded to 2 decimal places.
Is 10/29 a terminating or a repeating decimal?
It repeats. The bottom number 29 = 29 has a prime factor other than 2 and 5, so the division never ends and the block 3448275862068965517241379310 (28 digits) repeats.
What is 10/29 as a percent?
10/29 is 34.4827586206896551724137931034…% as a percent.
How do I round 10/29 to 2 decimal places?
10/29 rounded to 2 decimal places is 0.34.