Question

The fraction of 1/7 is equal to what 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`.

We can write and solve for `x`:

`x/100 = 1/7`

`color(red)(100) xx x/100 = color(red)(100) xx 1/7`

`cancel(color(red)(100)) xx x/color(red)(cancel(color(black)(100))) = 100/7`

`x = 100/7`

Therefore `1/7 = 100/7%`

Or, approximately:

`1/7 ~= 14.2857%`