Wie wandelt man 4% in einfachster Form in einen Bruch um?

Antworten:

$\frac{1}{25}$ $1/25$

Erläuterung:

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

$⇒4%=4100 as a fraction$ $rArr4%=4/100" as a fraction"$

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

$\Rightarrow \frac{4}{100} = \frac{4 \div 4}{100 \div 4} = \frac{1}{25}$ $rArr4/100=(4÷4)/(100÷4)=1/25$

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

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

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