13/45 as a decimal
13/45 as a decimal is 0.288888… (the digits 8 repeat forever), which is 0.29 rounded to 2 decimal places.
Change either number to try your own. The digits 8 repeat. Rounded to 2 places: 0.29. In lowest terms: 13/45.
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 45.
- 2
45 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 45, and write the digit. A remainder comes back after 2 steps, so the digits 8 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{13}{45} = 0.2\overline{8} \]
\[ \frac{13}{45} = 13 \div 45 \]Long division of 13 by 45
| Step | Remainder × 10 | Divide by 45 | Remainder left |
|---|---|---|---|
| 1 | 130 | 130 ÷ 45 = 2 | 40 |
| 2 | 400 | 400 ÷ 45 = 8 | 40 |
Questions
What is 13/45 as a decimal?
13/45 as a decimal is 0.288888… (the digits 8 repeat forever), which is 0.29 rounded to 2 decimal places.
Is 13/45 a terminating or a repeating decimal?
It repeats. The bottom number 45 = 3 × 3 × 5 has a prime factor other than 2 and 5, so the division never ends and the block 8 (1 digit) repeats.
What is 13/45 as a percent?
13/45 is 28.888888…% as a percent.
How do I round 13/45 to 2 decimal places?
13/45 rounded to 2 decimal places is 0.29.