Pineapple juice

The caterer prepared 25 1/4 liters of pineapple juice, 15 3/5 liters of soursop juice, and 10 7/10 liters of orange juice. How many liters of juice were prepared in all?

Correct answer:

V =  51 ¹¹⁄₂₀ = 1031/20 l

Step-by-step explanation:

$$\begin{gathered} a=25\frac{1}{4}=25+\frac{1}{4}=\frac{25\cdot 4+1}{4}=\frac{100+1}{4}=\frac{101}{4}=25.25\text{l} \\ b=15\frac{3}{5}=15+\frac{3}{5}=\frac{15\cdot 5+3}{5}=\frac{75+3}{5}=\frac{78}{5}=15.6\text{l} \\ c=10\frac{7}{10}=10+\frac{7}{10}=\frac{10\cdot 10+7}{10}=\frac{100+7}{10}=\frac{107}{10}=10.7\text{l} \\ V=a+b+c=\frac{101}{4}+\frac{78}{5}+\frac{107}{10}=\frac{505}{20}+\frac{312}{20}+\frac{214}{20}=\frac{505+312+214}{20}=\frac{1031}{20}=\frac{1031}{20}\text{l}=51\frac{11}{20}\text{l}=51.55\text{l} \end{gathered}$$

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