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Hector's family traveled 7 10 of the distance to his grandmother's house on Saturday. They traveled 2 3 of the remaining distance on Sunday. What fraction of the total distance to his grandmother's house was traveled on Sunday?

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Answer: 1 / 5 of the total distance.

Step-by-step explanation:

They traveled 7/10 of the distance on Saturday. This means that on Saturday, the fraction left was:

= 1 - 7/10

= 3/10 of the distance

On Sunday, they traveled 2/3 of this remaining distance. The fraction of the distance traveled is therefore:

= 2/3 * 3/10

= 6 / 30

= 1 / 5 of the total distance.

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