Spending in 3 days

Jesse spends 1/2 of his pocket money on Monday. On Tuesday, he spends 2/3 of what is left. On Wednesday, he spends 1/4 of what remains.

What fraction of the pocket money does he have left?

Final Answer:

C =  1/8

Step-by-step explanation:

$$\begin{gathered} s_1=\frac{1}{2}=0.5 \\ A=1-s_1=1-\frac{1}{2}=\frac{1\cdot 2}{2}-\frac{1}{2}=\frac{2}{2}-\frac{1}{2}=\frac{2-1}{2}=\frac{1}{2}=0.5 \\ {s}_2=\frac{2}{3}\cdot A=\frac{2}{3}\cdot \frac{1}{2}=\frac{2\cdot 1}{3\cdot 2}=\frac{2}{6}=\frac{1}{3}\doteq 0.3333 \\ B=A-s_2=\frac{1}{2}-\frac{1}{3}=\frac{3}{6}-\frac{2}{6}=\frac{3-2}{6}=\frac{1}{6}\doteq 0.1667 \\ {s}_3=\frac{1}{4}\cdot B=\frac{1}{4}\cdot \frac{1}{6}=\frac{1\cdot 1}{4\cdot 6}=\frac{1}{24}\doteq 0.0417 \\ C=B-s_3=\frac{1}{6}-\frac{1}{24}=\frac{4}{24}-\frac{1}{24}=\frac{4-1}{24}=\frac{3}{24}=\frac{1}{8}=0.125 \end{gathered}$$

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