Question

What is the total number I of cups of punch that Peter makes?

Answer 1

Step 1

Given;

$\begin{gathered} 4\frac{1}{4}\text{ cups of orange} \\ 2\frac{1}{4}\text{ cups of ginger ale} \\ 6\frac{1}{3}\text{ cups of strawberry lemonade} \end{gathered}$

Required; What is the total number of cups of punch that Peter makes?

Step 2

Convert the mixed fractions to improper fraction and add them

$\begin{gathered} 4\frac{1}{4}=\frac{16+1}{4}=\frac{17}{4} \\ 2\frac{1}{4}=\frac{8+1}{4}=\frac{9}{4} \\ 6\frac{1}{3}=\frac{18+1}{3}=\frac{19}{3} \end{gathered}$

$\begin{gathered} \frac{17}{4}+\frac{9}{4}+\frac{19}{3} \\ =\frac{26}{4}+\frac{19}{3} \\ =\frac{13}{2}+\frac{19}{3} \end{gathered}$$\begin{gathered} =\frac{39}{6}+\frac{38}{6} \\ =\frac{77}{6}=12\frac{5}{6} \end{gathered}$

Answer;

$12\frac{5}{6}\text{ cups of punch}$