58/67 as a decimal
58/67 as a decimal is 0.865671641791044776119402985074626… (the digits 865671641791044776119402985074626 repeat forever), which is 0.87 rounded to 2 decimal places.
Change either number to try your own. The digits 865671641791044776119402985074626 repeat. Rounded to 2 places: 0.87. In lowest terms: 58/67.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 58 by the bottom number 67.
- 2
67 does not go into 58 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 67, and write the digit. A remainder comes back after 33 steps, so the digits 865671641791044776119402985074626 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{58}{67} = 0.\overline{865671641791044776119402985074626} \]
\[ \frac{58}{67} = 58 \div 67 \]Long division of 58 by 67
| Step | Remainder × 10 | Divide by 67 | Remainder left |
|---|---|---|---|
| 1 | 580 | 580 ÷ 67 = 8 | 44 |
| 2 | 440 | 440 ÷ 67 = 6 | 38 |
| 3 | 380 | 380 ÷ 67 = 5 | 45 |
| 4 | 450 | 450 ÷ 67 = 6 | 48 |
| 5 | 480 | 480 ÷ 67 = 7 | 11 |
| 6 | 110 | 110 ÷ 67 = 1 | 43 |
| 7 | 430 | 430 ÷ 67 = 6 | 28 |
| 8 | 280 | 280 ÷ 67 = 4 | 12 |
| 9 | 120 | 120 ÷ 67 = 1 | 53 |
| 10 | 530 | 530 ÷ 67 = 7 | 61 |
| 11 | 610 | 610 ÷ 67 = 9 | 7 |
| 12 | 70 | 70 ÷ 67 = 1 | 3 |
Questions
What is 58/67 as a decimal?
58/67 as a decimal is 0.865671641791044776119402985074626… (the digits 865671641791044776119402985074626 repeat forever), which is 0.87 rounded to 2 decimal places.
Is 58/67 a terminating or a repeating decimal?
It repeats. The bottom number 67 = 67 has a prime factor other than 2 and 5, so the division never ends and the block 865671641791044776119402985074626 (33 digits) repeats.
What is 58/67 as a percent?
58/67 is 86.567164179104477611940298507462686…% as a percent.
How do I round 58/67 to 2 decimal places?
58/67 rounded to 2 decimal places is 0.87.