Final answer:
Marissa walked a total of 2(1/6) miles by adding 1(1/2) miles and (2/3) mile together after converting to a common denominator and combining the fractions.
Step-by-step explanation:
The student's question is asking for a total distance walked by combining two individual distances. To solve this problem, we simply add the distances together. Marissa walked 1(1/2) miles from school to the ice cream shop and (2/3) of a mile from the ice cream shop to her house.
The mixed number must first be changed into an incorrect fraction.
- 1(1/2) miles = (1 × 2 + 1)/2 = 3/2 miles
Now we add the two distances:
- (3/2) miles + (2/3) miles
- To add these two fractions, we need a common denominator, which will be 6.
- (3/2)×(3/3) + (2/3)×(2/2) = 9/6 + 4/6 = 13/6
- Finally, we convert the improper fraction back to a mixed number to get the total distance walked:
- 13/6 miles = 2(1/6) miles
Therefore, Marissa walked a total of 2(1/6) miles.