36/77 as a decimal
36/77 as a decimal is 0.467532… (the digits 467532 repeat forever), which is 0.47 rounded to 2 decimal places.
Change either number to try your own. The digits 467532 repeat. Rounded to 2 places: 0.47. In lowest terms: 36/77.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 36 by the bottom number 77.
- 2
77 does not go into 36 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 467532 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{36}{77} = 0.\overline{467532} \]
\[ \frac{36}{77} = 36 \div 77 \]Long division of 36 by 77
| Step | Remainder × 10 | Divide by 77 | Remainder left |
|---|---|---|---|
| 1 | 360 | 360 ÷ 77 = 4 | 52 |
| 2 | 520 | 520 ÷ 77 = 6 | 58 |
| 3 | 580 | 580 ÷ 77 = 7 | 41 |
| 4 | 410 | 410 ÷ 77 = 5 | 25 |
| 5 | 250 | 250 ÷ 77 = 3 | 19 |
| 6 | 190 | 190 ÷ 77 = 2 | 36 |
Questions
What is 36/77 as a decimal?
36/77 as a decimal is 0.467532… (the digits 467532 repeat forever), which is 0.47 rounded to 2 decimal places.
Is 36/77 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 467532 (6 digits) repeats.
What is 36/77 as a percent?
36/77 is 46.753246…% as a percent.
How do I round 36/77 to 2 decimal places?
36/77 rounded to 2 decimal places is 0.47.