Question

How do you write 282% as a fraction, mixed number, or whole number in simplest form?

Answer 1

`141/50` or `2 41/50`

Explanation:

`282%` = `282/100` (percent just means "out of 100")
`282/100` = `141/50` As the simplest (improper) fraction.
To find the mixed number, you can rewrite `141/50` as `100/50 + 41/50`. `100/50 = 2`, so you can write this as `2+41/50`, a mixed number. `282/100` cannot be simplified to a whole number.

Answer 2

`280/100` for fraction,

`2 82/100` for mixed number

`2.82` for a whole number in simplest form

Explanation:

Expand the percent into a full fraction by dividing by 100:

`282% = 282 /100`

A mixed number takes out any full fractions, so:

`282 / 100 = 100 / 100 + 100/100 + 82 / 100`

`= 1 + 1 + (82/100)`
`2 82/100`

A whole number in simplest form expands any fractions in a mixed number to a decimal value:

`82/100 = 0.82`

so `2 + 82/100`

`= 2 + 0.82`

`= 2.82`