The Smith family took a car trip. They traveled 1/2 the distance from San Antonio to Austin on Monday and 3/12 the distance on Tuesday. What fraction of the distance between San Antonio and Austin did the Smith family travel on Monday and Tuesday.

THANK YOU!

My goodness! They had a slow journey; it's only 87.3 miles between these two cities.

1/2 = 6/12

6/12 + 3/12 = 9/12 = 3/4

3/4

!

3/4

!

3

-
4

3/4

3/3

To find the total fraction of the distance the Smith family traveled on Monday and Tuesday, we need to add up the fractions.

On Monday, they traveled 1/2 of the distance.
On Tuesday, they traveled 3/12 of the distance.

To add these fractions, we need to find a common denominator. In this case, the least common multiple (LCM) of 2 and 12 is 12.

Now, let's express both fractions with the common denominator of 12:

On Monday, they traveled (1/2) * (6/6) = 6/12 of the distance.
On Tuesday, they traveled (3/12) * (1/1) = 3/12 of the distance.

Now, we can add the fractions:

(6/12) + (3/12) = 9/12.

Therefore, the Smith family traveled 9/12 of the distance between San Antonio and Austin on Monday and Tuesday.