16/67 as a decimal
16/67 as a decimal is 0.238805970149253731343283582089552… (the digits 238805970149253731343283582089552 repeat forever), which is 0.24 rounded to 2 decimal places.
Change either number to try your own. The digits 238805970149253731343283582089552 repeat. Rounded to 2 places: 0.24. In lowest terms: 16/67.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 16 by the bottom number 67.
- 2
67 does not go into 16 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 238805970149253731343283582089552 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{16}{67} = 0.\overline{238805970149253731343283582089552} \]
\[ \frac{16}{67} = 16 \div 67 \]Long division of 16 by 67
| Step | Remainder × 10 | Divide by 67 | Remainder left |
|---|---|---|---|
| 1 | 160 | 160 ÷ 67 = 2 | 26 |
| 2 | 260 | 260 ÷ 67 = 3 | 59 |
| 3 | 590 | 590 ÷ 67 = 8 | 54 |
| 4 | 540 | 540 ÷ 67 = 8 | 4 |
| 5 | 40 | 40 ÷ 67 = 0 | 40 |
| 6 | 400 | 400 ÷ 67 = 5 | 65 |
| 7 | 650 | 650 ÷ 67 = 9 | 47 |
| 8 | 470 | 470 ÷ 67 = 7 | 1 |
| 9 | 10 | 10 ÷ 67 = 0 | 10 |
| 10 | 100 | 100 ÷ 67 = 1 | 33 |
| 11 | 330 | 330 ÷ 67 = 4 | 62 |
| 12 | 620 | 620 ÷ 67 = 9 | 17 |
Questions
What is 16/67 as a decimal?
16/67 as a decimal is 0.238805970149253731343283582089552… (the digits 238805970149253731343283582089552 repeat forever), which is 0.24 rounded to 2 decimal places.
Is 16/67 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 238805970149253731343283582089552 (33 digits) repeats.
What is 16/67 as a percent?
16/67 is 23.880597014925373134328358208955223…% as a percent.
How do I round 16/67 to 2 decimal places?
16/67 rounded to 2 decimal places is 0.24.