Question

How do you write 4 1/5 as a percent?

Answer 1

First, convert the mixed fraction to decimal, then multiply by `100` to get `420%`

Explanation:

To write this value as a percentage, we first need to convert the mixed fraction to a decimal. The fraction `1//5` has a decimal value of `0.2` so our mixed fraction can be written as

`4 1/5 = 4+ 1/5 = 4+0.2 = 4.2`

Converting a decimal value to a percentage we just multiply by 100:

`4.2 = 4.2 * 100/100 = (4.2 * 100 )/ color(red)100 = 420 color(red)%`

Note the `%` or "percent" comes from per-cent, meaning per-`100`, which is what replaced the `1/100` in our final equation!