Question

How do you convert 4% into a fraction in simplest form?

Answer 1

`1/25`

Explanation:

`"percent means " color(blue)"out of 100"`

`rArr4%=4/100" as a fraction"`

To simplify the fraction we require to find a `color(blue)"common factor"` to both 4 and 100 and reduce the fraction by dividing. The common factors are 2 and 4 . Choose the largest, that is 4

`rArr4/100=(4÷4)/(100÷4)=1/25`

This calculation is usually set out using `color(blue)"cancelling"`

`4/100=cancel(4)^1/cancel(100)^(25)=1/25larr" in simplest form"`

A fraction is in `color(blue)"simplest form"` when no other factor but 1 will divide into the numerator/denominator.