3/77 as a decimal
3/77 as a decimal is 0.038961… (the digits 038961 repeat forever), which is 0.04 rounded to 2 decimal places.
Change either number to try your own. The digits 038961 repeat. Rounded to 2 places: 0.04. In lowest terms: 3/77.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 3 by the bottom number 77.
- 2
77 does not go into 3 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 038961 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{3}{77} = 0.\overline{038961} \]
\[ \frac{3}{77} = 3 \div 77 \]Long division of 3 by 77
| Step | Remainder × 10 | Divide by 77 | Remainder left |
|---|---|---|---|
| 1 | 30 | 30 ÷ 77 = 0 | 30 |
| 2 | 300 | 300 ÷ 77 = 3 | 69 |
| 3 | 690 | 690 ÷ 77 = 8 | 74 |
| 4 | 740 | 740 ÷ 77 = 9 | 47 |
| 5 | 470 | 470 ÷ 77 = 6 | 8 |
| 6 | 80 | 80 ÷ 77 = 1 | 3 |
Questions
What is 3/77 as a decimal?
3/77 as a decimal is 0.038961… (the digits 038961 repeat forever), which is 0.04 rounded to 2 decimal places.
Is 3/77 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 038961 (6 digits) repeats.
What is 3/77 as a percent?
3/77 is 3.896103…% as a percent.
How do I round 3/77 to 2 decimal places?
3/77 rounded to 2 decimal places is 0.04.