5/77 as a percent
5/77 as a percent is 6.493506…% (the digits 493506 repeat forever), which is 6.49% rounded to 2 decimal places.
Change either number to try your own. The digits 493506 repeat. Rounded to 2 places: 6.49%. In lowest terms: 5/77.
See the full steps for these numbersHow to work it out
- 1
Multiply by 100 to get a percent: 5/77 × 100 = 500/77. Then divide 500 by 77.
- 2
77 goes into 500 6 times with 38 left over, so the whole part is 6.
- 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 493506 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{5}{77} = 6.\overline{493506}\% \]
\[ \frac{5}{77} \times 100 = \frac{500}{77} \]Long division of 500 by 77
| Step | Remainder × 10 | Divide by 77 | Remainder left |
|---|---|---|---|
| 1 | 380 | 380 ÷ 77 = 4 | 72 |
| 2 | 720 | 720 ÷ 77 = 9 | 27 |
| 3 | 270 | 270 ÷ 77 = 3 | 39 |
| 4 | 390 | 390 ÷ 77 = 5 | 5 |
| 5 | 50 | 50 ÷ 77 = 0 | 50 |
| 6 | 500 | 500 ÷ 77 = 6 | 38 |
Questions
What is 5/77 as a percent?
5/77 as a percent is 6.493506…% (the digits 493506 repeat forever), which is 6.49% rounded to 2 decimal places.
Is 5/77 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 493506 (6 digits) repeats.
What is 5/77 as a decimal?
5/77 is 0.064935… as a decimal.
How do I round 5/77 to 2 decimal places?
5/77 rounded to 2 decimal places is 6.49%.