10/33 as a decimal
10/33 as a decimal is 0.303030… (the digits 30 repeat forever), which is 0.30 rounded to 2 decimal places.
Change either number to try your own. The digits 30 repeat. Rounded to 2 places: 0.30. In lowest terms: 10/33.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 10 by the bottom number 33.
- 2
33 does not go into 10 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 33, and write the digit. A remainder comes back after 2 steps, so the digits 30 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{10}{33} = 0.\overline{30} \]
\[ \frac{10}{33} = 10 \div 33 \]Long division of 10 by 33
| Step | Remainder × 10 | Divide by 33 | Remainder left |
|---|---|---|---|
| 1 | 100 | 100 ÷ 33 = 3 | 1 |
| 2 | 10 | 10 ÷ 33 = 0 | 10 |
Questions
What is 10/33 as a decimal?
10/33 as a decimal is 0.303030… (the digits 30 repeat forever), which is 0.30 rounded to 2 decimal places.
Is 10/33 a terminating or a repeating decimal?
It repeats. The bottom number 33 = 3 × 11 has a prime factor other than 2 and 5, so the division never ends and the block 30 (2 digits) repeats.
What is 10/33 as a percent?
10/33 is 30.303030…% as a percent.
How do I round 10/33 to 2 decimal places?
10/33 rounded to 2 decimal places is 0.30.