52/67 as a decimal
52/67 as a decimal is 0.776119402985074626865671641791044… (the digits 776119402985074626865671641791044 repeat forever), which is 0.78 rounded to 2 decimal places.
Change either number to try your own. The digits 776119402985074626865671641791044 repeat. Rounded to 2 places: 0.78. In lowest terms: 52/67.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 52 by the bottom number 67.
- 2
67 does not go into 52 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 776119402985074626865671641791044 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{52}{67} = 0.\overline{776119402985074626865671641791044} \]
\[ \frac{52}{67} = 52 \div 67 \]Long division of 52 by 67
| Step | Remainder × 10 | Divide by 67 | Remainder left |
|---|---|---|---|
| 1 | 520 | 520 ÷ 67 = 7 | 51 |
| 2 | 510 | 510 ÷ 67 = 7 | 41 |
| 3 | 410 | 410 ÷ 67 = 6 | 8 |
| 4 | 80 | 80 ÷ 67 = 1 | 13 |
| 5 | 130 | 130 ÷ 67 = 1 | 63 |
| 6 | 630 | 630 ÷ 67 = 9 | 27 |
| 7 | 270 | 270 ÷ 67 = 4 | 2 |
| 8 | 20 | 20 ÷ 67 = 0 | 20 |
| 9 | 200 | 200 ÷ 67 = 2 | 66 |
| 10 | 660 | 660 ÷ 67 = 9 | 57 |
| 11 | 570 | 570 ÷ 67 = 8 | 34 |
| 12 | 340 | 340 ÷ 67 = 5 | 5 |
Questions
What is 52/67 as a decimal?
52/67 as a decimal is 0.776119402985074626865671641791044… (the digits 776119402985074626865671641791044 repeat forever), which is 0.78 rounded to 2 decimal places.
Is 52/67 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 776119402985074626865671641791044 (33 digits) repeats.
What is 52/67 as a percent?
52/67 is 77.611940298507462686567164179104477…% as a percent.
How do I round 52/67 to 2 decimal places?
52/67 rounded to 2 decimal places is 0.78.