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

Apr 13, 2018

$\frac{141}{50}$ or $2 \frac{41}{50}$

#### Explanation:

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

Apr 13, 2018

$\frac{280}{100}$ for fraction,

$2 \frac{82}{100}$ 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:

$\frac{282}{100} = \frac{100}{100} + \frac{100}{100} + \frac{82}{100}$

$= 1 + 1 + \left(\frac{82}{100}\right)$
$2 \frac{82}{100}$

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

$\frac{82}{100} = 0.82$

so $2 + \frac{82}{100}$

$= 2 + 0.82$

$= 2.82$