Visit to grandfather

Shane's family traveled 3/10 of the distance to his grandfather's house on Saturday. They traveled 4/7 of the remaining distance on Sunday. What fraction of the total distance to his grandfather's house was traveled on Sunday?

Correct answer:

x =  2/5

Step-by-step explanation:

$$\begin{gathered} a=\frac{3}{10}=0.3 \\ r=1-a=1-\frac{3}{10}=\frac{1\cdot 10}{10}-\frac{3}{10}=\frac{10}{10}-\frac{3}{10}=\frac{10-3}{10}=\frac{7}{10}=0.7 \\ x=\frac{4}{7}\cdot r=\frac{4}{7}\cdot \frac{7}{10}=\frac{4\cdot 7}{7\cdot 10}=\frac{28}{70}=\frac{2}{5}=0.4 \end{gathered}$$

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