13/30 as a percent

13/30 as a percent is 43.333333…% (the digits 3 repeat forever), which is 43.33% rounded to 2 decimal places.

÷=43.333333…%

Change either number to try your own. The digits 3 repeat. Rounded to 2 places: 43.33%. In lowest terms: 13/30.

\frac{13}{30} = 43.\overline{3}\%

How to work it out

1
Multiply by 100 to get a percent: 13/30 × 100 = 1300/30. Then divide 1300 by 30.
$\frac{13}{30} \times 100 = \frac{1300}{30}$
2
30 goes into 1300 43 times with 10 left over, so the whole part is 43.
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 1 step, so the digits 3 repeat forever.
4
The result is
$\frac{13}{30} = 43.\overline{3}\%$

LaTeX source of the formulas on this page

\[ \frac{13}{30} = 43.\overline{3}\% \]
\[ \frac{13}{30} \times 100 = \frac{1300}{30} \]

Step	Remainder × 10	Divide by 30	Remainder left
1	100	100 ÷ 30 = 3	10

What is 13/30 as a percent?

13/30 as a percent is 43.333333…% (the digits 3 repeat forever), which is 43.33% 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 decimal?

13/30 is 0.433333… as a decimal.

How do I round 13/30 to 2 decimal places?

13/30 rounded to 2 decimal places is 43.33%.