7/24 as a decimal
7/24 as a decimal is 0.291666… (the digits 6 repeat forever), which is 0.29 rounded to 2 decimal places.
Change either number to try your own. The digits 6 repeat. Rounded to 2 places: 0.29. In lowest terms: 7/24.
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 24.
- 2
24 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 24, and write the digit. A remainder comes back after 4 steps, so the digits 6 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{7}{24} = 0.291\overline{6} \]
\[ \frac{7}{24} = 7 \div 24 \]Long division of 7 by 24
| Step | Remainder × 10 | Divide by 24 | Remainder left |
|---|---|---|---|
| 1 | 70 | 70 ÷ 24 = 2 | 22 |
| 2 | 220 | 220 ÷ 24 = 9 | 4 |
| 3 | 40 | 40 ÷ 24 = 1 | 16 |
| 4 | 160 | 160 ÷ 24 = 6 | 16 |
Questions
What is 7/24 as a decimal?
7/24 as a decimal is 0.291666… (the digits 6 repeat forever), which is 0.29 rounded to 2 decimal places.
Is 7/24 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 6 (1 digit) repeats.
What is 7/24 as a percent?
7/24 is 29.166666…% as a percent.
How do I round 7/24 to 2 decimal places?
7/24 rounded to 2 decimal places is 0.29.