Week of spending

Michael spent his pocket money on Monday, 2/5, Tuesday, 0.1, and Wednesday, 1/3. What part of his pocket money did he have left?

Write the result in the basic form.

Final Answer:

x =  1/6

Step-by-step explanation:

$$\begin{gathered} 0.1=1/10=\frac{1}{10} \\ s=\frac{2}{5}+\frac{1}{10}+\frac{1}{3}=\frac{12}{30}+\frac{3}{30}+\frac{10}{30}=\frac{12+3+10}{30}=\frac{25}{30}=\frac{5}{6}\doteq 0.8333 \\ x=1-s=1-\frac{5}{6}=\frac{1\cdot 6}{6}-\frac{5}{6}=\frac{6}{6}-\frac{5}{6}=\frac{6-5}{6}=\frac{1}{6}=0.1667 \end{gathered}$$

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