17/24 as a decimal
17/24 as a decimal is 0.708333… (the digits 3 repeat forever), which is 0.71 rounded to 2 decimal places.
Change either number to try your own. The digits 3 repeat. Rounded to 2 places: 0.71. In lowest terms: 17/24.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 17 by the bottom number 24.
- 2
24 does not go into 17 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 24, and write the digit. A remainder comes back after 4 steps, so the digits 3 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{17}{24} = 0.708\overline{3} \]
\[ \frac{17}{24} = 17 \div 24 \]Long division of 17 by 24
| Step | Remainder × 10 | Divide by 24 | Remainder left |
|---|---|---|---|
| 1 | 170 | 170 ÷ 24 = 7 | 2 |
| 2 | 20 | 20 ÷ 24 = 0 | 20 |
| 3 | 200 | 200 ÷ 24 = 8 | 8 |
| 4 | 80 | 80 ÷ 24 = 3 | 8 |
Questions
What is 17/24 as a decimal?
17/24 as a decimal is 0.708333… (the digits 3 repeat forever), which is 0.71 rounded to 2 decimal places.
Is 17/24 a terminating or a repeating decimal?
It repeats. The bottom number 24 = 2 × 2 × 2 × 3 has a prime factor other than 2 and 5, so the division never ends and the block 3 (1 digit) repeats.
What is 17/24 as a percent?
17/24 is 70.833333…% as a percent.
How do I round 17/24 to 2 decimal places?
17/24 rounded to 2 decimal places is 0.71.