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Jenna is determining the distance from her home to the park. If 1/3​ of the distance is 4/5​ mile, what is the total distance?

a. 1.2 miles
b. 1.5 miles
c. 2.4 miles
d. 3 miles

User Lebesgue
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2 Answers

1 vote

Answer:

1.5

Step-by-step explanation:

4/5 / 1/3

User Ryan Durkin
by
8.2k points
4 votes

Final answer:

option c.

By setting up a proportion and multiplying 4/5 mile by 3, we find that the total distance from Jenna's home to the park is 2.4 miles.

Step-by-step explanation:

To calculate the total distance from Jenna's home to the park, we need to find out what 1 whole is if 1/3 of it is 4/5 mile. We start by setting up a proportion:

1/3 of total distance = 4/5 mile

To find the total distance, we multiply both sides of the equation by 3 (the reciprocal of 1/3) to isolate the total distance on one side:

total distance = (4/5 mile) x 3

Now, we perform the multiplication:

total distance = 12/5 miles

12/5 miles is equivalent to 2.4 miles when converting the improper fraction to a mixed number. Therefore, the total distance from Jenna's home to the park is 2.4 miles, which corresponds to option c.

User Mach
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