Emma's family traveled 2 7 of the distance to her uncle's house on Saturday. They traveled 4 5 of the remaining distance on Sunday. What fraction of the total distance to her uncle's house was traveled on Sunday?

Fraction of the total distance to her uncle's house traveled on Sunday = ⁸/₃₅X

Step-by-step explanation:

Let the total distance be X

Hence ²/₇X was traveled on Saturday, remaining distance after Saturday is = X - ²/₇X = ⁵/₇X

Total distance traveled on Sunday = ⁴/₅ x ²/₇X = ⁸/₃₅X

Fraction of the total distance to her uncle's house traveled on Sunday = ⁸/₃₅X

Step-by-step explanation:

Let x be the total distance of her uncle's house.

Given:

Fraction of distance, d1 = 2/7 of x

Fraction of distance, d2 = 4/5 of (x - d1)

= 4/5 * (x - 2/7 * x)

= 4/5 * 5/7 x

= 4/7 x

4/7 of the total distance of her uncle's house was travelled on Sunday.