Question

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

Answer 1

Step 1

Given;

`\begin{gathered} 4(1)/(4)\text{ cups of orange} \\ 2(1)/(4)\text{ cups of ginger ale} \\ 6(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(1)/(4)=(16+1)/(4)=(17)/(4) \\ 2(1)/(4)=(8+1)/(4)=(9)/(4) \\ 6(1)/(3)=(18+1)/(3)=(19)/(3) \end{gathered}`
`\begin{gathered} (17)/(4)+(9)/(4)+(19)/(3) \\ =(26)/(4)+(19)/(3) \\ =(13)/(2)+(19)/(3) \end{gathered}`
`\begin{gathered} =(39)/(6)+(38)/(6) \\ =(77)/(6)=12(5)/(6) \end{gathered}`

Answer;

`12(5)/(6)\text{ cups of punch}`