5/12 as a percent

5/12 as a percent is 41.666666…% (the digits 6 repeat forever), which is 41.67% rounded to 2 decimal places.

÷=41.666666…%

Change either number to try your own. The digits 6 repeat. Rounded to 2 places: 41.67%. In lowest terms: 5/12.

\frac{5}{12} = 41.\overline{6}\%

How to work it out

1
Multiply by 100 to get a percent: 5/12 × 100 = 500/12. Then divide 500 by 12.
$\frac{5}{12} \times 100 = \frac{500}{12}$
2
12 goes into 500 41 times with 8 left over, so the whole part is 41.
3
Long division: bring down a zero each time (multiply the remainder by 10), divide by 12, and write the digit. A remainder comes back after 1 step, so the digits 6 repeat forever.
4
The result is
$\frac{5}{12} = 41.\overline{6}\%$

LaTeX source of the formulas on this page

\[ \frac{5}{12} = 41.\overline{6}\% \]
\[ \frac{5}{12} \times 100 = \frac{500}{12} \]

Step	Remainder × 10	Divide by 12	Remainder left
1	80	80 ÷ 12 = 6	8

What is 5/12 as a percent?

5/12 as a percent is 41.666666…% (the digits 6 repeat forever), which is 41.67% rounded to 2 decimal places.

Is 5/12 a terminating or a repeating decimal?

It repeats. The bottom number 12 = 2 × 2 × 3 has a prime factor other than 2 and 5, so the division never ends and the block 6 (1 digit) repeats.

What is 5/12 as a decimal?

5/12 is 0.416666… as a decimal.

How do I round 5/12 to 2 decimal places?

5/12 rounded to 2 decimal places is 41.67%.