Louise's family traveled 3 10 of the distance to her grandmother's house on Saturday. They traveled 4 7 of the remaining distance on Sunday. What fraction of the total distance to her grandmother's house was traveled on Sunday?

4/10

Step-by-step explanation:

Louise's family traveled 3/10 of the distance to her grandmother's house on Saturday.

Let us represent total distance = 1

The remaining distance left is calculated as:

1 - 3/10

Lowest common denominator = 10

= 10 - 3/10 = 7/10

They traveled 4/7 of the remaining distance on Sunday.

This is calculated as:

= 4/7 × 7/10

= 4/10

What fraction of the total distance to her grandmother's house was traveled on Sunday?

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!