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

1 Answer
Dec 30, 2016

#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.