Wie wandelt man 4% in einfachster Form in einen Bruch um?
Antworten:
#1/25#
Erläuterung:
#"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.