Answer:
Hi There!
Your answer is:
Alyssa ran 2 and a half miles if she ran 2/3rds of the loop.
Explanation:
1 loop= 3 & 3/4ths miles
WE NEED: 2/3rds of a loop
1 loop/ 3 = 3& 3/4ths miles /3
CHANGE MILES TO IMPROPER FRACTION!
1/3 loop = 15/4ths divided by 3
Multiply 15/4ths by the inverse of 3
15/4ths * 1/3 = 15/ 12
SIMPLIFY
1 & 3/12 or 1& 1/4
1/3loop = 1 & 1/4th mile
To get 2/3rds loop, multiply both sides by 2
2/3rds loop = 2 & 1/2 Miles
Hope this helps