4/77 as a decimal
4/77 as a decimal is 0.051948… (the digits 051948 repeat forever), which is 0.05 rounded to 2 decimal places.
Change either number to try your own. The digits 051948 repeat. Rounded to 2 places: 0.05. In lowest terms: 4/77.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 4 by the bottom number 77.
- 2
77 does not go into 4 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 051948 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{4}{77} = 0.\overline{051948} \]
\[ \frac{4}{77} = 4 \div 77 \]Long division of 4 by 77
| Step | Remainder × 10 | Divide by 77 | Remainder left |
|---|---|---|---|
| 1 | 40 | 40 ÷ 77 = 0 | 40 |
| 2 | 400 | 400 ÷ 77 = 5 | 15 |
| 3 | 150 | 150 ÷ 77 = 1 | 73 |
| 4 | 730 | 730 ÷ 77 = 9 | 37 |
| 5 | 370 | 370 ÷ 77 = 4 | 62 |
| 6 | 620 | 620 ÷ 77 = 8 | 4 |
Questions
What is 4/77 as a decimal?
4/77 as a decimal is 0.051948… (the digits 051948 repeat forever), which is 0.05 rounded to 2 decimal places.
Is 4/77 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 051948 (6 digits) repeats.
What is 4/77 as a percent?
4/77 is 5.194805…% as a percent.
How do I round 4/77 to 2 decimal places?
4/77 rounded to 2 decimal places is 0.05.