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One loop around the park is Three and three-fourths miles. How far did Alyssa run if she ran Two-thirds of the way around the loop?

2 Answers

5 votes

Explanation:

One loop= 3+3/4= 15/4 miles

Two-third of the loop= 2/3*(15/4)

= 5/2 = 2.5 miles

Hope it helps :)

User Gazihan Alankus
by
8.3k points
4 votes

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

User Dorsey
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7.7k points