Rubi walks from her house 1 3/4 miles to get her bike. Then she rides 2 1/3 miles to reach her car. Finally she drives the car 3 3/8 miles through the goal to win the triathlon. What is the total distance she travels from the house to the goal?

7.46 miles she has traveled from her house to the goal.

Step-by-step explanation:

total distance traveled = 1 3/4 + 2 1/3 + 3 3/8 miles

=7/4 + 7/3 + 27/8 (converting the mixed numbers into improper functions)

= 7 (6) + 7 (8) + 27 (3) / 24 (taking LCM)

=42 + 56 + 81/24 (adding)

= 179/24

= 7.46 miles