53/67 as a decimal
53/67 as a decimal is 0.791044776119402985074626865671641… (the digits 791044776119402985074626865671641 repeat forever), which is 0.79 rounded to 2 decimal places.
Change either number to try your own. The digits 791044776119402985074626865671641 repeat. Rounded to 2 places: 0.79. In lowest terms: 53/67.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 53 by the bottom number 67.
- 2
67 does not go into 53 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 791044776119402985074626865671641 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{53}{67} = 0.\overline{791044776119402985074626865671641} \]
\[ \frac{53}{67} = 53 \div 67 \]Long division of 53 by 67
| Step | Remainder × 10 | Divide by 67 | Remainder left |
|---|---|---|---|
| 1 | 530 | 530 ÷ 67 = 7 | 61 |
| 2 | 610 | 610 ÷ 67 = 9 | 7 |
| 3 | 70 | 70 ÷ 67 = 1 | 3 |
| 4 | 30 | 30 ÷ 67 = 0 | 30 |
| 5 | 300 | 300 ÷ 67 = 4 | 32 |
| 6 | 320 | 320 ÷ 67 = 4 | 52 |
| 7 | 520 | 520 ÷ 67 = 7 | 51 |
| 8 | 510 | 510 ÷ 67 = 7 | 41 |
| 9 | 410 | 410 ÷ 67 = 6 | 8 |
| 10 | 80 | 80 ÷ 67 = 1 | 13 |
| 11 | 130 | 130 ÷ 67 = 1 | 63 |
| 12 | 630 | 630 ÷ 67 = 9 | 27 |
Questions
What is 53/67 as a decimal?
53/67 as a decimal is 0.791044776119402985074626865671641… (the digits 791044776119402985074626865671641 repeat forever), which is 0.79 rounded to 2 decimal places.
Is 53/67 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 791044776119402985074626865671641 (33 digits) repeats.
What is 53/67 as a percent?
53/67 is 79.104477611940298507462686567164179…% as a percent.
How do I round 53/67 to 2 decimal places?
53/67 rounded to 2 decimal places is 0.79.