Answer: [tex]\frac{2}{45}\ Kg[/tex]
Step-by-step explanation:
You know that the total amount of kilograms that Avril has is:
[tex]Total=\frac{2}{5}\ Kg[/tex]
According to the information given in the exercise, Avril divides that total amount of bead she has in nine equal parts, in order to give each part to each friend.
Then, based on this, the procedure to calculate the amount of kilograms each friend received, is to divide [tex]\frac{2}{5}[/tex] kilograms by 9.
But first, it is important to remember that, by definition:
[tex]\frac{a}{b}\div\frac{c}{d}= \frac{a}{b}*\frac{d}{c}=\frac{ad}{bc}[/tex]
Therefore, applying the above, you know that [tex](\frac{2}{5}\ Kg)\div9[/tex] can be also written in the following form:
[tex]=(\frac{2}{5}\ Kg)(\frac{1}{9})[/tex]
Finally, solving the multiplication, you get this result:
[tex]=\frac{2*1}{5*9}\ Kg=\frac{2}{45}\ Kg[/tex]
