One weekend

One weekend, Raul worked 5 ¾ hours on Saturday and 2 ⅔ hours on Sunday. How many hours did Raul work that weekend?

Tips:
a. What is asked? b. What is given? c. What operation should be used? a. What is the number sentence? b. Show your solution:

Correct answer:

w =  8 ⁵⁄₁₂ = 101/12 h

Step-by-step explanation:

$$\begin{gathered} a=5\frac{3}{4}=5+\frac{3}{4}=\frac{5\cdot 4+3}{4}=\frac{20+3}{4}=\frac{23}{4}=5.75\text{h} \\ b=2\frac{2}{3}=2+\frac{2}{3}=\frac{2\cdot 3+2}{3}=\frac{6+2}{3}=\frac{8}{3}\doteq 2.6667\text{h} \\ w=a+b=\frac{23}{4}+\frac{8}{3}=\frac{69}{12}+\frac{32}{12}=\frac{69+32}{12}=\frac{101}{12}=\frac{101}{12}\text{h}=8\frac{5}{12}\text{h}=8.4167\text{h} \end{gathered}$$

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