48/67 as a decimal
48/67 as a decimal is 0.716417910447761194029850746268656… (the digits 716417910447761194029850746268656 repeat forever), which is 0.72 rounded to 2 decimal places.
Change either number to try your own. The digits 716417910447761194029850746268656 repeat. Rounded to 2 places: 0.72. In lowest terms: 48/67.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 48 by the bottom number 67.
- 2
67 does not go into 48 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 716417910447761194029850746268656 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{48}{67} = 0.\overline{716417910447761194029850746268656} \]
\[ \frac{48}{67} = 48 \div 67 \]Long division of 48 by 67
| Step | Remainder × 10 | Divide by 67 | Remainder left |
|---|---|---|---|
| 1 | 480 | 480 ÷ 67 = 7 | 11 |
| 2 | 110 | 110 ÷ 67 = 1 | 43 |
| 3 | 430 | 430 ÷ 67 = 6 | 28 |
| 4 | 280 | 280 ÷ 67 = 4 | 12 |
| 5 | 120 | 120 ÷ 67 = 1 | 53 |
| 6 | 530 | 530 ÷ 67 = 7 | 61 |
| 7 | 610 | 610 ÷ 67 = 9 | 7 |
| 8 | 70 | 70 ÷ 67 = 1 | 3 |
| 9 | 30 | 30 ÷ 67 = 0 | 30 |
| 10 | 300 | 300 ÷ 67 = 4 | 32 |
| 11 | 320 | 320 ÷ 67 = 4 | 52 |
| 12 | 520 | 520 ÷ 67 = 7 | 51 |
Questions
What is 48/67 as a decimal?
48/67 as a decimal is 0.716417910447761194029850746268656… (the digits 716417910447761194029850746268656 repeat forever), which is 0.72 rounded to 2 decimal places.
Is 48/67 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 716417910447761194029850746268656 (33 digits) repeats.
What is 48/67 as a percent?
48/67 is 71.641791044776119402985074626865671…% as a percent.
How do I round 48/67 to 2 decimal places?
48/67 rounded to 2 decimal places is 0.72.