Question

Each batch of cookies requires 1 3/5 cups of butter. If Amanda has 8 cups of butter, how many batches of cookies can she bake

Answer 1

namely, how many times does 1⅗ goes into 8.

let's firstly convert the mixed fraction to improper fraction and then divide.

$\bf \stackrel{mixed}{1\frac{3}{5}}\implies \cfrac{1\cdot 5+3}{5}\implies \stackrel{improper}{\cfrac{8}{5}} \\\\\\ 8\div \cfrac{8}{5}\implies \cfrac{8}{1}\div \cfrac{8}{5}\implies \cfrac{8}{1}\cdot \cfrac{5}{8}\implies \cfrac{8}{8}\cdot \cfrac{5}{1}\implies 5$