13/29 as a decimal
13/29 as a decimal is 0.4482758620689655172413793103… (the digits 4482758620689655172413793103 repeat forever), which is 0.45 rounded to 2 decimal places.
Change either number to try your own. The digits 4482758620689655172413793103 repeat. Rounded to 2 places: 0.45. In lowest terms: 13/29.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 13 by the bottom number 29.
- 2
29 does not go into 13 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 4482758620689655172413793103 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{13}{29} = 0.\overline{4482758620689655172413793103} \]
\[ \frac{13}{29} = 13 \div 29 \]Long division of 13 by 29
| Step | Remainder × 10 | Divide by 29 | Remainder left |
|---|---|---|---|
| 1 | 130 | 130 ÷ 29 = 4 | 14 |
| 2 | 140 | 140 ÷ 29 = 4 | 24 |
| 3 | 240 | 240 ÷ 29 = 8 | 8 |
| 4 | 80 | 80 ÷ 29 = 2 | 22 |
| 5 | 220 | 220 ÷ 29 = 7 | 17 |
| 6 | 170 | 170 ÷ 29 = 5 | 25 |
| 7 | 250 | 250 ÷ 29 = 8 | 18 |
| 8 | 180 | 180 ÷ 29 = 6 | 6 |
| 9 | 60 | 60 ÷ 29 = 2 | 2 |
| 10 | 20 | 20 ÷ 29 = 0 | 20 |
| 11 | 200 | 200 ÷ 29 = 6 | 26 |
| 12 | 260 | 260 ÷ 29 = 8 | 28 |
Questions
What is 13/29 as a decimal?
13/29 as a decimal is 0.4482758620689655172413793103… (the digits 4482758620689655172413793103 repeat forever), which is 0.45 rounded to 2 decimal places.
Is 13/29 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 4482758620689655172413793103 (28 digits) repeats.
What is 13/29 as a percent?
13/29 is 44.8275862068965517241379310344…% as a percent.
How do I round 13/29 to 2 decimal places?
13/29 rounded to 2 decimal places is 0.45.