Question

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 famiy travel on Monday and Tuesday?

Answer 1

The Smith family traveled 3/4 of the distance between San Antonio and Austin on Monday and Tuesday.

Step-by-step explanation:

To find the fraction of the distance traveled by the Smith family, we need to add the fractions for Monday and Tuesday. On Monday, they traveled 1/2 of the distance, and on Tuesday, they traveled 3/12 of the distance. To add these fractions, we need to find a common denominator. Multiplying the first fraction by 6/6 and the second fraction by 1/4 will give us a common denominator of 12. So the sum of the fractions is (6/12) + (3/12) = 9/12. Simplifying this fraction, we get 3/4. Therefore, the Smith family traveled 3/4 of the distance between San Antonio and Austin on Monday and Tuesday.