16/77 as a decimal
16/77 as a decimal is 0.207792… (the digits 207792 repeat forever), which is 0.21 rounded to 2 decimal places.
Change either number to try your own. The digits 207792 repeat. Rounded to 2 places: 0.21. In lowest terms: 16/77.
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 77.
- 2
77 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 77, and write the digit. A remainder comes back after 6 steps, so the digits 207792 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{16}{77} = 0.\overline{207792} \]
\[ \frac{16}{77} = 16 \div 77 \]Long division of 16 by 77
| Step | Remainder × 10 | Divide by 77 | Remainder left |
|---|---|---|---|
| 1 | 160 | 160 ÷ 77 = 2 | 6 |
| 2 | 60 | 60 ÷ 77 = 0 | 60 |
| 3 | 600 | 600 ÷ 77 = 7 | 61 |
| 4 | 610 | 610 ÷ 77 = 7 | 71 |
| 5 | 710 | 710 ÷ 77 = 9 | 17 |
| 6 | 170 | 170 ÷ 77 = 2 | 16 |
Questions
What is 16/77 as a decimal?
16/77 as a decimal is 0.207792… (the digits 207792 repeat forever), which is 0.21 rounded to 2 decimal places.
Is 16/77 a terminating or a repeating decimal?
It repeats. The bottom number 77 = 7 × 11 has a prime factor other than 2 and 5, so the division never ends and the block 207792 (6 digits) repeats.
What is 16/77 as a percent?
16/77 is 20.779220…% as a percent.
How do I round 16/77 to 2 decimal places?
16/77 rounded to 2 decimal places is 0.21.