# Como você converte 4% em uma fração da forma mais simples?

1/25

#### Explicação:

"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.