24/77 as a decimal
24/77 as a decimal is 0.311688… (the digits 311688 repeat forever), which is 0.31 rounded to 2 decimal places.
Change either number to try your own. The digits 311688 repeat. Rounded to 2 places: 0.31. In lowest terms: 24/77.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 24 by the bottom number 77.
- 2
77 does not go into 24 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 77, and write the digit. A remainder comes back after 6 steps, so the digits 311688 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{24}{77} = 0.\overline{311688} \]
\[ \frac{24}{77} = 24 \div 77 \]Long division of 24 by 77
| Step | Remainder × 10 | Divide by 77 | Remainder left |
|---|---|---|---|
| 1 | 240 | 240 ÷ 77 = 3 | 9 |
| 2 | 90 | 90 ÷ 77 = 1 | 13 |
| 3 | 130 | 130 ÷ 77 = 1 | 53 |
| 4 | 530 | 530 ÷ 77 = 6 | 68 |
| 5 | 680 | 680 ÷ 77 = 8 | 64 |
| 6 | 640 | 640 ÷ 77 = 8 | 24 |
Questions
What is 24/77 as a decimal?
24/77 as a decimal is 0.311688… (the digits 311688 repeat forever), which is 0.31 rounded to 2 decimal places.
Is 24/77 a terminating or a repeating decimal?
It repeats. The bottom number 77 = 7 × 11 has a prime factor other than 2 and 5, so the division never ends and the block 311688 (6 digits) repeats.
What is 24/77 as a percent?
24/77 is 31.168831…% as a percent.
How do I round 24/77 to 2 decimal places?
24/77 rounded to 2 decimal places is 0.31.