Question

How do you express 0.6% as a decimal and fraction?

Answer 1

See a solution process below:

Explanation:

"Percent" or "%" means "out of 100" or "per 100", Therefore:

`0.6% = 0.6/100 = 0.6/100 xx 10/10 = (0.6 xx 10)/(100 xx 10) = 6/1000 = 0.006`

We can also reduce `6/1000` as:

`6/1000 = (2 xx 3)/(2 xx 500) = (color(red)(cancel(color(black)(2))) xx 3)/(color(red)(cancel(color(black)(2))) xx 500) = 3/500`

`0.6% = 3/500 = 0.006`