Denise

Denise drinks 1 4/12 liters of water daily. Claudine and Allysa drink 1 3/12 and 1 7/12 liters of water daily, respectively. How many liters of water do the three consume daily?

Correct answer:

V =  4 ¹⁄₆ = 25/6 l

Step-by-step explanation:

$$\begin{gathered} D=1\frac{4}{12}=1+\frac{4}{12}=\frac{1\cdot 12+4}{12}=\frac{12+4}{12}=\frac{16}{12}=\frac{4}{3}\doteq 1.3333\text{l} \\ C=1\frac{3}{12}=1+\frac{3}{12}=\frac{1\cdot 12+3}{12}=\frac{12+3}{12}=\frac{15}{12}=\frac{5}{4}=1.25\text{l} \\ A=1\frac{7}{12}=1+\frac{7}{12}=\frac{1\cdot 12+7}{12}=\frac{12+7}{12}=\frac{19}{12}\doteq 1.5833\text{l} \\ V=D+C+A=\frac{4}{3}+\frac{5}{4}+\frac{19}{12}=\frac{16}{12}+\frac{15}{12}+\frac{19}{12}=\frac{16+15+19}{12}=\frac{50}{12}=\frac{25}{6}\text{l}=4\frac{1}{6}\text{l}=4.1667\text{l} \end{gathered}$$

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