Question

gavin and his three friends want to share $\frac{1}{3}$ of a cake equally. gavin says that each friend will get $\frac{1}{9}$ of the cake. use the drop - down menus to explain whether or not gavin is correct. click the arrows to choose an answer from each menu. gavin is choose... . to find how much cake each person gets, divide $\frac{1}{3}$ by choose... , or multiply $\frac{1}{3}$ by choose... . therefore, each of the friends gets choose... of the cake.

Explanation:

Step1: Determine number of people

There are Gavin and his 3 friends, so 4 people in total.

Step2: Calculate share per person

To find the share of $\frac{1}{3}$ of a cake per person, we divide $\frac{1}{3}$ by 4. Dividing by a number is the same as multiplying by its reciprocal. So we multiply $\frac{1}{3}$ by $\frac{1}{4}$.
$\frac{1}{3}\div4=\frac{1}{3}\times\frac{1}{4}=\frac{1}{12}$

Answer:

Gavin is incorrect. To find how much cake each person gets, divide $\frac{1}{3}$ by 4, or multiply $\frac{1}{3}$ by $\frac{1}{4}$. Therefore, each of the friends gets $\frac{1}{12}$ of the cake.