Bottles

At a pizza party, James and his friends drank 1 2/3 bottles of sprite, 1 5/8 bottles of Cola, and 4 2/6 bottles of Kofola.
How much soda did they drink in total?

Correct answer:

x =  7 ⁵⁄₈ = 61/8

Step-by-step explanation:

$$\begin{gathered} a=1\frac{2}{3}=1+\frac{2}{3}=\frac{1\cdot 3+2}{3}=\frac{3+2}{3}=\frac{5}{3}=1\frac{2}{3}\doteq 1.6667 \\ b=1\frac{5}{8}=1+\frac{5}{8}=\frac{1\cdot 8+5}{8}=\frac{8+5}{8}=\frac{13}{8}=1\frac{5}{8}=1.625 \\ c=4\frac{2}{6}=4+\frac{2}{6}=\frac{4\cdot 6+2}{6}=\frac{24+2}{6}=\frac{26}{6}=\frac{13}{3}=4\frac{1}{3}\doteq 4.3333 \\ x=a+b+c=\frac{5}{3}+\frac{13}{8}+\frac{13}{3}=\frac{40}{24}+\frac{39}{24}+\frac{104}{24}=\frac{40+39+104}{24}=\frac{183}{24}=\frac{61}{8}=7\frac{5}{8}=7.625 \end{gathered}$$

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