Question

One serving of grapefruit juice is 3/4 cup. Gemma has a pitcher with 3 1/4 cups of grapefruit juice. How many servings of grapefruit juice are in the pitcher? i-ready

Answer 1

well, or we can put it this way, how many times does ¾ go into 3¼?

let's convert the mixed fraction to improper fraction first.

`\stackrel{mixed}{3(1)/(4)}\implies \cfrac{3\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{13}{4}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{13}{4}/ \cfrac{3}{4}\implies \cfrac{13}{~~\begin{matrix} 4 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\cdot \cfrac{~~\begin{matrix} 4 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{3}\implies \cfrac{13}{3}\implies 4(1)/(3)`