45/67 as a decimal
45/67 as a decimal is 0.671641791044776119402985074626865… (the digits 671641791044776119402985074626865 repeat forever), which is 0.67 rounded to 2 decimal places.
Change either number to try your own. The digits 671641791044776119402985074626865 repeat. Rounded to 2 places: 0.67. In lowest terms: 45/67.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 45 by the bottom number 67.
- 2
67 does not go into 45 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 671641791044776119402985074626865 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{45}{67} = 0.\overline{671641791044776119402985074626865} \]
\[ \frac{45}{67} = 45 \div 67 \]Long division of 45 by 67
| Step | Remainder × 10 | Divide by 67 | Remainder left |
|---|---|---|---|
| 1 | 450 | 450 ÷ 67 = 6 | 48 |
| 2 | 480 | 480 ÷ 67 = 7 | 11 |
| 3 | 110 | 110 ÷ 67 = 1 | 43 |
| 4 | 430 | 430 ÷ 67 = 6 | 28 |
| 5 | 280 | 280 ÷ 67 = 4 | 12 |
| 6 | 120 | 120 ÷ 67 = 1 | 53 |
| 7 | 530 | 530 ÷ 67 = 7 | 61 |
| 8 | 610 | 610 ÷ 67 = 9 | 7 |
| 9 | 70 | 70 ÷ 67 = 1 | 3 |
| 10 | 30 | 30 ÷ 67 = 0 | 30 |
| 11 | 300 | 300 ÷ 67 = 4 | 32 |
| 12 | 320 | 320 ÷ 67 = 4 | 52 |
Questions
What is 45/67 as a decimal?
45/67 as a decimal is 0.671641791044776119402985074626865… (the digits 671641791044776119402985074626865 repeat forever), which is 0.67 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 671641791044776119402985074626865 (33 digits) repeats.
What is 45/67 as a percent?
45/67 is 67.164179104477611940298507462686567…% as a percent.
How do I round 45/67 to 2 decimal places?
45/67 rounded to 2 decimal places is 0.67.