45/67 as a percent
45/67 as a percent is 67.164179104477611940298507462686567…% (the digits 164179104477611940298507462686567 repeat forever), which is 67.16% rounded to 2 decimal places.
Change either number to try your own. The digits 164179104477611940298507462686567 repeat. Rounded to 2 places: 67.16%. In lowest terms: 45/67.
See the full steps for these numbersHow to work it out
- 1
Multiply by 100 to get a percent: 45/67 × 100 = 4500/67. Then divide 4500 by 67.
- 2
67 goes into 4500 67 times with 11 left over, so the whole part is 67.
- 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 164179104477611940298507462686567 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{45}{67} = 67.\overline{164179104477611940298507462686567}\% \]
\[ \frac{45}{67} \times 100 = \frac{4500}{67} \]Long division of 4500 by 67
| Step | Remainder × 10 | Divide by 67 | Remainder left |
|---|---|---|---|
| 1 | 110 | 110 ÷ 67 = 1 | 43 |
| 2 | 430 | 430 ÷ 67 = 6 | 28 |
| 3 | 280 | 280 ÷ 67 = 4 | 12 |
| 4 | 120 | 120 ÷ 67 = 1 | 53 |
| 5 | 530 | 530 ÷ 67 = 7 | 61 |
| 6 | 610 | 610 ÷ 67 = 9 | 7 |
| 7 | 70 | 70 ÷ 67 = 1 | 3 |
| 8 | 30 | 30 ÷ 67 = 0 | 30 |
| 9 | 300 | 300 ÷ 67 = 4 | 32 |
| 10 | 320 | 320 ÷ 67 = 4 | 52 |
| 11 | 520 | 520 ÷ 67 = 7 | 51 |
| 12 | 510 | 510 ÷ 67 = 7 | 41 |
Questions
What is 45/67 as a percent?
45/67 as a percent is 67.164179104477611940298507462686567…% (the digits 164179104477611940298507462686567 repeat forever), which is 67.16% rounded to 2 decimal places.
Is 45/67 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 164179104477611940298507462686567 (33 digits) repeats.
What is 45/67 as a decimal?
45/67 is 0.671641791044776119402985074626865… as a decimal.
How do I round 45/67 to 2 decimal places?
45/67 rounded to 2 decimal places is 67.16%.