23/77 as a decimal
23/77 as a decimal is 0.298701… (the digits 298701 repeat forever), which is 0.30 rounded to 2 decimal places.
Change either number to try your own. The digits 298701 repeat. Rounded to 2 places: 0.30. In lowest terms: 23/77.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 23 by the bottom number 77.
- 2
77 does not go into 23 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 298701 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{23}{77} = 0.\overline{298701} \]
\[ \frac{23}{77} = 23 \div 77 \]Long division of 23 by 77
| Step | Remainder × 10 | Divide by 77 | Remainder left |
|---|---|---|---|
| 1 | 230 | 230 ÷ 77 = 2 | 76 |
| 2 | 760 | 760 ÷ 77 = 9 | 67 |
| 3 | 670 | 670 ÷ 77 = 8 | 54 |
| 4 | 540 | 540 ÷ 77 = 7 | 1 |
| 5 | 10 | 10 ÷ 77 = 0 | 10 |
| 6 | 100 | 100 ÷ 77 = 1 | 23 |
Questions
What is 23/77 as a decimal?
23/77 as a decimal is 0.298701… (the digits 298701 repeat forever), which is 0.30 rounded to 2 decimal places.
Is 23/77 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 298701 (6 digits) repeats.
What is 23/77 as a percent?
23/77 is 29.870129…% as a percent.
How do I round 23/77 to 2 decimal places?
23/77 rounded to 2 decimal places is 0.30.