7/29 as a decimal
7/29 as a decimal is 0.2413793103448275862068965517… (the digits 2413793103448275862068965517 repeat forever), which is 0.24 rounded to 2 decimal places.
Change either number to try your own. The digits 2413793103448275862068965517 repeat. Rounded to 2 places: 0.24. In lowest terms: 7/29.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 7 by the bottom number 29.
- 2
29 does not go into 7 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 2413793103448275862068965517 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{7}{29} = 0.\overline{2413793103448275862068965517} \]
\[ \frac{7}{29} = 7 \div 29 \]Long division of 7 by 29
| Step | Remainder × 10 | Divide by 29 | Remainder left |
|---|---|---|---|
| 1 | 70 | 70 ÷ 29 = 2 | 12 |
| 2 | 120 | 120 ÷ 29 = 4 | 4 |
| 3 | 40 | 40 ÷ 29 = 1 | 11 |
| 4 | 110 | 110 ÷ 29 = 3 | 23 |
| 5 | 230 | 230 ÷ 29 = 7 | 27 |
| 6 | 270 | 270 ÷ 29 = 9 | 9 |
| 7 | 90 | 90 ÷ 29 = 3 | 3 |
| 8 | 30 | 30 ÷ 29 = 1 | 1 |
| 9 | 10 | 10 ÷ 29 = 0 | 10 |
| 10 | 100 | 100 ÷ 29 = 3 | 13 |
| 11 | 130 | 130 ÷ 29 = 4 | 14 |
| 12 | 140 | 140 ÷ 29 = 4 | 24 |
Questions
What is 7/29 as a decimal?
7/29 as a decimal is 0.2413793103448275862068965517… (the digits 2413793103448275862068965517 repeat forever), which is 0.24 rounded to 2 decimal places.
Is 7/29 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 2413793103448275862068965517 (28 digits) repeats.
What is 7/29 as a percent?
7/29 is 24.1379310344827586206896551724…% as a percent.
How do I round 7/29 to 2 decimal places?
7/29 rounded to 2 decimal places is 0.24.