5/33 as a decimal
5/33 as a decimal is 0.151515… (the digits 15 repeat forever), which is 0.15 rounded to 2 decimal places.
Change either number to try your own. The digits 15 repeat. Rounded to 2 places: 0.15. In lowest terms: 5/33.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 5 by the bottom number 33.
- 2
33 does not go into 5 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 15 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{5}{33} = 0.\overline{15} \]
\[ \frac{5}{33} = 5 \div 33 \]Long division of 5 by 33
| Step | Remainder × 10 | Divide by 33 | Remainder left |
|---|---|---|---|
| 1 | 50 | 50 ÷ 33 = 1 | 17 |
| 2 | 170 | 170 ÷ 33 = 5 | 5 |
Questions
What is 5/33 as a decimal?
5/33 as a decimal is 0.151515… (the digits 15 repeat forever), which is 0.15 rounded to 2 decimal places.
Is 5/33 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 15 (2 digits) repeats.
What is 5/33 as a percent?
5/33 is 15.151515…% as a percent.
How do I round 5/33 to 2 decimal places?
5/33 rounded to 2 decimal places is 0.15.