Ellen mix is 1/3 cup of orange juice with 5/6 cups of lemonade to make fruit punch. Then she adds 1 2/3 cups of soda. Use the properties of addition to find how many cups of fruit punch she makes show your work

Respuesta :

ANSWER:

2 5/6 cups

STEP-BY-STEP EXPLANATION:

To find the total cups, we must add the number of cups in each case, like this:

[tex]\frac{1}{3}+\frac{5}{6}+1\frac{2}{3}[/tex]

For ease, we'll convert each fraction so that they all have the same denominator:

[tex]\begin{gathered} \frac{1}{3}=\frac{2}{6} \\ \frac{5}{6} \\ 1\frac{2}{3}=\frac{5}{3}=\frac{10}{6} \\ \text{therefore:} \\ \frac{2}{6}+\frac{5}{6}+\frac{10}{6}=\frac{2+5+10}{6}=\frac{17}{6} \\ \frac{17}{6}=2\frac{5}{6} \end{gathered}[/tex]

That is to say that in total there are 2 5/6 cups of fruit punch