Question

How do you write `5/6` as a percent?

Answer 1

See a solution process below:

Explanation:

"Percent" or "%" means "out of 100" or "per 100", Therefore x% can be written as `x/100`.

Therefore we can write an equation as and solve for `x`:

`x/100 = 5/6`

`color(red)(100) xx x/100 = color(red)(100) xx 5/6`

`cancel(color(red)(100)) xx x/color(red)(cancel(color(black)(100))) = 500/6`

`x = 83.bar3`

`5/6 = 83.bar3%` or `83 1/3%`

Answer 2

`83 1/3%" "or" " 83.3%`

Explanation:

Fractions, decimals and percents are all different ways of writing the same number.

The easiest one is: `1/2 = 0.5 = 0.50 = 50/100 = 50%`

`5/6` can be written as `5 div 6`

If you do the division you will end up with a decimal:

`5/6 = 0.8333333....`

The first two decimal places represent hundredths.

`0color(blue)(.83)3333... = (color(blue)(83).333)/100 = 83.3333..%`

You can give this rounded to a chosen number of decimal places:

`83.3%" "83.33%" "83.333%` etc

or a more accurate way is by writing the decimal part as a fraction.

`83 1/3%`