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?

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.

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