Question

How many 1/3 cup servings are in a box of cereal that contains 7 5/6 cups of cereal? Show you work? Please

Answer 1

First off, let's convert the mixed fraction to "improper", and then check "how many times does 1/3 go into 7 and 5/6?"

$\bf \stackrel{mixed}{7\frac{5}{6}}\implies \cfrac{7\cdot 6+5}{6}\implies \stackrel{improper}{\cfrac{47}{6}}\\\\ -------------------------------\\\\ \cfrac{\quad \frac{47}{6}\quad }{\frac{1}{3}}\implies \cfrac{47}{6}\cdot \cfrac{3}{1}\implies \cfrac{47}{2}\implies 23\frac{1}{2}$