Grandmother

Stella's family traveled 5/8 of the distance to her grandmother's house on Saturday. They traveled 2/3 of the remaining distance on Sunday. What fraction of the total distance to her grandmother's house was traveled on Sunday?

Final Answer:

b =  1/4

Step-by-step explanation:

$$\begin{gathered} a=\frac{5}{8}=0.625 \\ r=1-a=1-\frac{5}{8}=\frac{1\cdot 8}{8}-\frac{5}{8}=\frac{8}{8}-\frac{5}{8}=\frac{8-5}{8}=\frac{3}{8}=0.375 \\ b=\frac{2}{3}\cdot r=\frac{2}{3}\cdot \frac{3}{8}=\frac{2\cdot 3}{3\cdot 8}=\frac{6}{24}=\frac{1}{4}=0.25 \end{gathered}$$

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