33/43 as a decimal
33/43 as a decimal is 0.767441860465116279069… (the digits 767441860465116279069 repeat forever), which is 0.77 rounded to 2 decimal places.
Change either number to try your own. The digits 767441860465116279069 repeat. Rounded to 2 places: 0.77. In lowest terms: 33/43.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 33 by the bottom number 43.
- 2
43 does not go into 33 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 43, and write the digit. A remainder comes back after 21 steps, so the digits 767441860465116279069 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{33}{43} = 0.\overline{767441860465116279069} \]
\[ \frac{33}{43} = 33 \div 43 \]Long division of 33 by 43
| Step | Remainder × 10 | Divide by 43 | Remainder left |
|---|---|---|---|
| 1 | 330 | 330 ÷ 43 = 7 | 29 |
| 2 | 290 | 290 ÷ 43 = 6 | 32 |
| 3 | 320 | 320 ÷ 43 = 7 | 19 |
| 4 | 190 | 190 ÷ 43 = 4 | 18 |
| 5 | 180 | 180 ÷ 43 = 4 | 8 |
| 6 | 80 | 80 ÷ 43 = 1 | 37 |
| 7 | 370 | 370 ÷ 43 = 8 | 26 |
| 8 | 260 | 260 ÷ 43 = 6 | 2 |
| 9 | 20 | 20 ÷ 43 = 0 | 20 |
| 10 | 200 | 200 ÷ 43 = 4 | 28 |
| 11 | 280 | 280 ÷ 43 = 6 | 22 |
| 12 | 220 | 220 ÷ 43 = 5 | 5 |
Questions
What is 33/43 as a decimal?
33/43 as a decimal is 0.767441860465116279069… (the digits 767441860465116279069 repeat forever), which is 0.77 rounded to 2 decimal places.
Is 33/43 a terminating or a repeating decimal?
It repeats. The bottom number 43 = 43 has a prime factor other than 2 and 5, so the division never ends and the block 767441860465116279069 (21 digits) repeats.
What is 33/43 as a percent?
33/43 is 76.744186046511627906976…% as a percent.
How do I round 33/43 to 2 decimal places?
33/43 rounded to 2 decimal places is 0.77.