13/30 as a decimal
13/30 as a decimal is 0.433333… (the digits 3 repeat forever), which is 0.43 rounded to 2 decimal places.
Change either number to try your own. The digits 3 repeat. Rounded to 2 places: 0.43. In lowest terms: 13/30.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 13 by the bottom number 30.
- 2
30 does not go into 13 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 30, and write the digit. A remainder comes back after 2 steps, so the digits 3 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{13}{30} = 0.4\overline{3} \]
\[ \frac{13}{30} = 13 \div 30 \]Long division of 13 by 30
| Step | Remainder × 10 | Divide by 30 | Remainder left |
|---|---|---|---|
| 1 | 130 | 130 ÷ 30 = 4 | 10 |
| 2 | 100 | 100 ÷ 30 = 3 | 10 |
Questions
What is 13/30 as a decimal?
13/30 as a decimal is 0.433333… (the digits 3 repeat forever), which is 0.43 rounded to 2 decimal places.
Is 13/30 a terminating or a repeating decimal?
It repeats. The bottom number 30 = 2 × 3 × 5 has a prime factor other than 2 and 5, so the division never ends and the block 3 (1 digit) repeats.
What is 13/30 as a percent?
13/30 is 43.333333…% as a percent.
How do I round 13/30 to 2 decimal places?
13/30 rounded to 2 decimal places is 0.43.