Question 199
There are $m$ friends with $n$ cupcakes each weighing 1 ounce. They wish to split the cupcakes equally by dividing each cupcake into some number of parts, and allocating some parts to each person.
a) Assume $m=3$ and $n=5$. Show that they may divide the cupcakes with all pieces being larger than $\frac{1}{3}$ ounces.
b) Assume $m=5$ and $n=3$. Show that they may divide the cupcakes with all pieces being larger than $\frac{1}{5}$ ounces.
a) Assume $m=3$ and $n=5$. Show that they may divide the cupcakes with all pieces being larger than $\frac{1}{3}$ ounces.
b) Assume $m=5$ and $n=3$. Show that they may divide the cupcakes with all pieces being larger than $\frac{1}{5}$ ounces.