Fruit punch

Kelly made fruit punch to serve at a party for her chess team. She mixed 1 2/5  liters of cranberry juice and 1 3/5  liters of pineapple juice together. Then, she split the fruit punch evenly among nine glasses. How much fruit punch did Kelly pour into each glass?

Correct answer:

g =  1/3 l

Step-by-step explanation:

$$\begin{gathered} c=1\frac{2}{5}=1+\frac{2}{5}=\frac{1\cdot 5+2}{5}=\frac{5+2}{5}=\frac{7}{5}=1.4\text{l} \\ b=1\frac{3}{5}=1+\frac{3}{5}=\frac{1\cdot 5+3}{5}=\frac{5+3}{5}=\frac{8}{5}=1.6\text{l} \\ n=9 \\ t=c+b=\frac{7}{5}+\frac{8}{5}=\frac{7+8}{5}=\frac{15}{5}=3\text{l} \\ g=t/n=3/9=\frac{1}{3}\text{l}=0.3333\text{l} \end{gathered}$$

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