Question

A bakery uses 10 4/5 ounces of icing for every 1/4 of a cake.What is the unit rate in ounces of icing per cake

Answer 1

first off, we'll convert the mixed fraction to "improper" and proceed,


`\bf \stackrel{mixed}{10(4)/(5)}\implies \cfrac{10\cdot 5+4}{5}\implies \stackrel{improper}{\cfrac{54}{5}}\\\\ -------------------------------\\\\ \cfrac{icing}{cake}\qquad \cfrac{\quad (54)/(5)\quad }{(1)/(4)}\implies \cfrac{54}{5}\cdot \cfrac{4}{1}\implies \cfrac{216}{5}\implies \cfrac{43(1)/(5)}{1}`