5/6 as a percent

5/6 as a percent is 83.333333…% (the digits 3 repeat forever), which is 83.33% rounded to 2 decimal places.

÷=83.333333…%

Change either number to try your own. The digits 3 repeat. Rounded to 2 places: 83.33%. In lowest terms: 5/6.

\frac{5}{6} = 83.\overline{3}\%

How to work it out

1
Multiply by 100 to get a percent: 5/6 × 100 = 500/6. Then divide 500 by 6.
$\frac{5}{6} \times 100 = \frac{500}{6}$
2
6 goes into 500 83 times with 2 left over, so the whole part is 83.
3
Long division: bring down a zero each time (multiply the remainder by 10), divide by 6, and write the digit. A remainder comes back after 1 step, so the digits 3 repeat forever.
4
The result is
$\frac{5}{6} = 83.\overline{3}\%$

LaTeX source of the formulas on this page

\[ \frac{5}{6} = 83.\overline{3}\% \]
\[ \frac{5}{6} \times 100 = \frac{500}{6} \]

Step	Remainder × 10	Divide by 6	Remainder left
1	20	20 ÷ 6 = 3	2

What is 5/6 as a percent?

5/6 as a percent is 83.333333…% (the digits 3 repeat forever), which is 83.33% rounded to 2 decimal places.

Is 5/6 a terminating or a repeating decimal?

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

What is 5/6 as a decimal?

5/6 is 0.833333… as a decimal.

How do I round 5/6 to 2 decimal places?

5/6 rounded to 2 decimal places is 83.33%.