Nathalia

Nathalia spent 1 1/2 hours in an online class, and it took 2 2/3 hours to answer her module. How long did Nathalia spend time in studying?

Correct answer:

t =  4 ¹⁄₆ = 25/6 h

Step-by-step explanation:

$$\begin{gathered} a=1\frac{1}{2}=1+\frac{1}{2}=\frac{1\cdot 2+1}{2}=\frac{2+1}{2}=\frac{3}{2}=1.5\text{h} \\ b=2\frac{2}{3}=2+\frac{2}{3}=\frac{2\cdot 3+2}{3}=\frac{6+2}{3}=\frac{8}{3}\doteq 2.6667\text{h} \\ t=a+b=\frac{3}{2}+\frac{8}{3}=\frac{9}{6}+\frac{16}{6}=\frac{9+16}{6}=\frac{25}{6}=\frac{25}{6}\text{h}=4\frac{1}{6}\text{h}=4.1667\text{h} \end{gathered}$$

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