During

During a week, a student spends 1/3 of her time in bed, 5/24 of her time in lessons, and 1/8 of her time doing homework. What fraction of her time is left for doing other things?

Final Answer:

x =  1/3

Step-by-step explanation:

$$\begin{gathered} w=\frac{1}{3}+\frac{5}{24}+\frac{1}{8}=\frac{8}{24}+\frac{5}{24}+\frac{3}{24}=\frac{8+5+3}{24}=\frac{16}{24}=\frac{2}{3}\doteq 0.6667 \\ x=1-w=1-\frac{2}{3}=\frac{1\cdot 3}{3}-\frac{2}{3}=\frac{3}{3}-\frac{2}{3}=\frac{3-2}{3}=\frac{1}{3}=0.3333 \end{gathered}$$

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