Question

How many 1/ 4 cup servings are in a package of cheese that contains 6 and 1/2 cups altogether?

Answer 1

in essence, how many times does 1/4 go into 6 and 1/2?

`\stackrel{mixed}{6(1)/(2)}\implies \cfrac{6\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{13}{2}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{13}{2}/ \cfrac{1}{4}\implies \cfrac{13}{2}\cdot \cfrac{4}{1}\implies \cfrac{13}{1}\cdot \implies \cfrac{4}{2}\cdot 13\cdot 2\implies 26`